15=6y+3(y-4)

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Solution for 15=6y+3(y-4) equation:


Simplifying
15 = 6y + 3(y + -4)

Reorder the terms:
15 = 6y + 3(-4 + y)
15 = 6y + (-4 * 3 + y * 3)
15 = 6y + (-12 + 3y)

Reorder the terms:
15 = -12 + 6y + 3y

Combine like terms: 6y + 3y = 9y
15 = -12 + 9y

Solving
15 = -12 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
15 + -9y = -12 + 9y + -9y

Combine like terms: 9y + -9y = 0
15 + -9y = -12 + 0
15 + -9y = -12

Add '-15' to each side of the equation.
15 + -15 + -9y = -12 + -15

Combine like terms: 15 + -15 = 0
0 + -9y = -12 + -15
-9y = -12 + -15

Combine like terms: -12 + -15 = -27
-9y = -27

Divide each side by '-9'.
y = 3

Simplifying
y = 3

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