4(y+1)-(3-5y)=2(y-2)

Solution for 4(y+1)-(3-5y)=2(y-2) equation:

Simplifying
4(y + 1) + -1(3 + -5y) = 2(y + -2)

Reorder the terms:
4(1 + y) + -1(3 + -5y) = 2(y + -2)
(1 * 4 + y * 4) + -1(3 + -5y) = 2(y + -2)
(4 + 4y) + -1(3 + -5y) = 2(y + -2)
4 + 4y + (3 * -1 + -5y * -1) = 2(y + -2)
4 + 4y + (-3 + 5y) = 2(y + -2)

Reorder the terms:
4 + -3 + 4y + 5y = 2(y + -2)

Combine like terms: 4 + -3 = 1
1 + 4y + 5y = 2(y + -2)

Combine like terms: 4y + 5y = 9y
1 + 9y = 2(y + -2)

Reorder the terms:
1 + 9y = 2(-2 + y)
1 + 9y = (-2 * 2 + y * 2)
1 + 9y = (-4 + 2y)

Solving
1 + 9y = -4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
1 + 9y + -2y = -4 + 2y + -2y

Combine like terms: 9y + -2y = 7y
1 + 7y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
1 + 7y = -4 + 0
1 + 7y = -4

Add '-1' to each side of the equation.
1 + -1 + 7y = -4 + -1

Combine like terms: 1 + -1 = 0
0 + 7y = -4 + -1
7y = -4 + -1

Combine like terms: -4 + -1 = -5
7y = -5

Divide each side by '7'.
y = -0.7142857143

Simplifying
y = -0.7142857143