5y+6-9y=(6+y)2

Solution for 5y+6-9y=(6+y)2 equation:

Simplifying
5y + 6 + -9y = (6 + y) * 2

Reorder the terms:
6 + 5y + -9y = (6 + y) * 2

Combine like terms: 5y + -9y = -4y
6 + -4y = (6 + y) * 2

Reorder the terms for easier multiplication:
6 + -4y = 2(6 + y)
6 + -4y = (6 * 2 + y * 2)
6 + -4y = (12 + 2y)

Solving
6 + -4y = 12 + 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.
6 + -4y + -2y = 12 + 2y + -2y

Combine like terms: -4y + -2y = -6y
6 + -6y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + -6y = 12 + 0
6 + -6y = 12

Add '-6' to each side of the equation.
6 + -6 + -6y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -6y = 12 + -6
-6y = 12 + -6

Combine like terms: 12 + -6 = 6
-6y = 6

Divide each side by '-6'.
y = -1

Simplifying
y = -1