2(4y+3)-2(5y+6)=4

Solution for 2(4y+3)-2(5y+6)=4 equation:

Simplifying
2(4y + 3) + -2(5y + 6) = 4

Reorder the terms:
2(3 + 4y) + -2(5y + 6) = 4
(3 * 2 + 4y * 2) + -2(5y + 6) = 4
(6 + 8y) + -2(5y + 6) = 4

Reorder the terms:
6 + 8y + -2(6 + 5y) = 4
6 + 8y + (6 * -2 + 5y * -2) = 4
6 + 8y + (-12 + -10y) = 4

Reorder the terms:
6 + -12 + 8y + -10y = 4

Combine like terms: 6 + -12 = -6
-6 + 8y + -10y = 4

Combine like terms: 8y + -10y = -2y
-6 + -2y = 4

Solving
-6 + -2y = 4

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + -2y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 4 + 6
-2y = 4 + 6

Combine like terms: 4 + 6 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5