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

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

Simplifying
(y + -3) * 2 = (y + 4) * 2

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

Reorder the terms for easier multiplication:
2(-3 + y) = (y + 4) * 2
(-3 * 2 + y * 2) = (y + 4) * 2
(-6 + 2y) = (y + 4) * 2

Reorder the terms:
-6 + 2y = (4 + y) * 2

Reorder the terms for easier multiplication:
-6 + 2y = 2(4 + y)
-6 + 2y = (4 * 2 + y * 2)
-6 + 2y = (8 + 2y)

Add '-2y' to each side of the equation.
-6 + 2y + -2y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 0 = 8 + 2y + -2y
-6 = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 = 8 + 0
-6 = 8

Solving
-6 = 8

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.