y^2-7=1-y^2

Simple and best practice solution for y^2-7=1-y^2 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 y^2-7=1-y^2 equation: 


Simplifying
y2 + -7 = 1 + -1y2

Reorder the terms:
-7 + y2 = 1 + -1y2

Solving
-7 + y2 = 1 + -1y2

Solving for variable 'y'.

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

Add 'y2' to each side of the equation.
-7 + y2 + y2 = 1 + -1y2 + y2

Combine like terms: y2 + y2 = 2y2
-7 + 2y2 = 1 + -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-7 + 2y2 = 1 + 0
-7 + 2y2 = 1

Add '7' to each side of the equation.
-7 + 7 + 2y2 = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 2y2 = 1 + 7
2y2 = 1 + 7

Combine like terms: 1 + 7 = 8
2y2 = 8

Divide each side by '2'.
y2 = 4

Simplifying
y2 = 4

Take the square root of each side:
y = {-2, 2}

See similar equations:

| 2x/9=4x/5-26 | | -8-6=2y+44 | | X-4-6x+3x+2=-14 | | -5-18=-3 | | 9/7x=20 | | x/9-7=x/2 | | 0.2x-0.6=0.4+0.8 | | x/2=5(10) | | 11d^2+7=0 | | 5x-55y=40 | | x-12=48/6 | | 3(4)=3x | | 8u-u=56 | | x-y+4z=7 | | 2/3+3k/=17/12 | | 11+13=x+1 | | X^6/6= | | 18x-6=9x+22 | | [[2b]/[7[[a]^[3]]]]smalldot;[[14[[a]^[4]]b]/[[[b]^[4]]]] | | 6m=10-8 | | 7(x+1)-5(x+2)=9 | | 21=-7/2x | | 7/9=n/180 | | 14x-12=3x+11 | | 50/4=100/x | | U+2.8=4.72 | | 8x+12=20x-18 | | 4c=6.4 | | 5x^2+11664=13689 | | 8(1+3a)+4(-6-2)=-6a+2a | | 2t+3(1-5t)= | | 7-8[9-(4y-6)]= |

Equations solver categories