36=4(y+6)-6y

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Solution for 36=4(y+6)-6y equation:


Simplifying
36 = 4(y + 6) + -6y

Reorder the terms:
36 = 4(6 + y) + -6y
36 = (6 * 4 + y * 4) + -6y
36 = (24 + 4y) + -6y

Combine like terms: 4y + -6y = -2y
36 = 24 + -2y

Solving
36 = 24 + -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.
36 + 2y = 24 + -2y + 2y

Combine like terms: -2y + 2y = 0
36 + 2y = 24 + 0
36 + 2y = 24

Add '-36' to each side of the equation.
36 + -36 + 2y = 24 + -36

Combine like terms: 36 + -36 = 0
0 + 2y = 24 + -36
2y = 24 + -36

Combine like terms: 24 + -36 = -12
2y = -12

Divide each side by '2'.
y = -6

Simplifying
y = -6

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