(4y+3)(y+7)=-3(4y+3)

Simple and best practice solution for (4y+3)(y+7)=-3(4y+3) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4y+3)(y+7)=-3(4y+3) equation: 


Simplifying
(4y + 3)(y + 7) = -3(4y + 3)

Reorder the terms:
(3 + 4y)(y + 7) = -3(4y + 3)

Reorder the terms:
(3 + 4y)(7 + y) = -3(4y + 3)

Multiply (3 + 4y) * (7 + y)
(3(7 + y) + 4y * (7 + y)) = -3(4y + 3)
((7 * 3 + y * 3) + 4y * (7 + y)) = -3(4y + 3)
((21 + 3y) + 4y * (7 + y)) = -3(4y + 3)
(21 + 3y + (7 * 4y + y * 4y)) = -3(4y + 3)
(21 + 3y + (28y + 4y2)) = -3(4y + 3)

Combine like terms: 3y + 28y = 31y
(21 + 31y + 4y2) = -3(4y + 3)

Reorder the terms:
21 + 31y + 4y2 = -3(3 + 4y)
21 + 31y + 4y2 = (3 * -3 + 4y * -3)
21 + 31y + 4y2 = (-9 + -12y)

Solving
21 + 31y + 4y2 = -9 + -12y

Solving for variable 'y'.

Reorder the terms:
21 + 9 + 31y + 12y + 4y2 = -9 + -12y + 9 + 12y

Combine like terms: 21 + 9 = 30
30 + 31y + 12y + 4y2 = -9 + -12y + 9 + 12y

Combine like terms: 31y + 12y = 43y
30 + 43y + 4y2 = -9 + -12y + 9 + 12y

Reorder the terms:
30 + 43y + 4y2 = -9 + 9 + -12y + 12y

Combine like terms: -9 + 9 = 0
30 + 43y + 4y2 = 0 + -12y + 12y
30 + 43y + 4y2 = -12y + 12y

Combine like terms: -12y + 12y = 0
30 + 43y + 4y2 = 0

Factor a trinomial.
(10 + y)(3 + 4y) = 0


Subproblem 1
Set the factor '(10 + y)' equal to zero and attempt to solve:

Simplifying
10 + y = 0

Solving
10 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + y = 0 + -10
y = 0 + -10

Combine like terms: 0 + -10 = -10
y = -10

Simplifying
y = -10

Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 0 + -3
4y = 0 + -3

Combine like terms: 0 + -3 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {-10, -0.75}

See similar equations:

| 4(y-7)=2(2y-41) | | (x^2-0.4x)+(-0.3x+1)=1 | | 2x-5-5x=-3x+9 | | (x^2-0.4x)+(-0.3x+1)=100 | | -6c=18 | | x+2x+18=162 | | 4r=14r+30 | | 32=0.5at^2 | | -8(x-3)=104 | | 2w-15=7w-90 | | 3x^2+33x-5.5=0 | | 3y^2+30y-x+70=0 | | h-18=22 | | 4(-3x+5)=-112 | | 12X+8Y= | | 56=8xn | | y-8=7x+3 | | 2(6x-8)=-100 | | 2z+52=6z-84 | | 3(4x+2)=2(x+1) | | y^2+25y+100= | | -234+x=-30 | | 80=10xn | | 4f-2f-11=-6f+13 | | 4(10-3x)=4 | | 4x^3-4x^2-9X+9= | | y=12x+170 | | -3(6x+10)=-120 | | y^2+8y-180= | | 5(1x-5)=20 | | 3+5(x+2)=12 | | 2x^3+24x=0 |

Equations solver categories