5(y+6)=7y+36

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Solution for 5(y+6)=7y+36 equation:


Simplifying
5(y + 6) = 7y + 36

Reorder the terms:
5(6 + y) = 7y + 36
(6 * 5 + y * 5) = 7y + 36
(30 + 5y) = 7y + 36

Reorder the terms:
30 + 5y = 36 + 7y

Solving
30 + 5y = 36 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
30 + 5y + -7y = 36 + 7y + -7y

Combine like terms: 5y + -7y = -2y
30 + -2y = 36 + 7y + -7y

Combine like terms: 7y + -7y = 0
30 + -2y = 36 + 0
30 + -2y = 36

Add '-30' to each side of the equation.
30 + -30 + -2y = 36 + -30

Combine like terms: 30 + -30 = 0
0 + -2y = 36 + -30
-2y = 36 + -30

Combine like terms: 36 + -30 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3

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