2y+15=12-6(y+7)

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Solution for 2y+15=12-6(y+7) equation: 


Simplifying
2y + 15 = 12 + -6(y + 7)

Reorder the terms:
15 + 2y = 12 + -6(y + 7)

Reorder the terms:
15 + 2y = 12 + -6(7 + y)
15 + 2y = 12 + (7 * -6 + y * -6)
15 + 2y = 12 + (-42 + -6y)

Combine like terms: 12 + -42 = -30
15 + 2y = -30 + -6y

Solving
15 + 2y = -30 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
15 + 2y + 6y = -30 + -6y + 6y

Combine like terms: 2y + 6y = 8y
15 + 8y = -30 + -6y + 6y

Combine like terms: -6y + 6y = 0
15 + 8y = -30 + 0
15 + 8y = -30

Add '-15' to each side of the equation.
15 + -15 + 8y = -30 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = -30 + -15
8y = -30 + -15

Combine like terms: -30 + -15 = -45
8y = -45

Divide each side by '8'.
y = -5.625

Simplifying
y = -5.625

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