15=-3(23-y)+3(y-4)

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Solution for 15=-3(23-y)+3(y-4) equation: 


Simplifying
15 = -3(23 + -1y) + 3(y + -4)
15 = (23 * -3 + -1y * -3) + 3(y + -4)
15 = (-69 + 3y) + 3(y + -4)

Reorder the terms:
15 = -69 + 3y + 3(-4 + y)
15 = -69 + 3y + (-4 * 3 + y * 3)
15 = -69 + 3y + (-12 + 3y)

Reorder the terms:
15 = -69 + -12 + 3y + 3y

Combine like terms: -69 + -12 = -81
15 = -81 + 3y + 3y

Combine like terms: 3y + 3y = 6y
15 = -81 + 6y

Solving
15 = -81 + 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 + -6y = -81 + 6y + -6y

Combine like terms: 6y + -6y = 0
15 + -6y = -81 + 0
15 + -6y = -81

Add '-15' to each side of the equation.
15 + -15 + -6y = -81 + -15

Combine like terms: 15 + -15 = 0
0 + -6y = -81 + -15
-6y = -81 + -15

Combine like terms: -81 + -15 = -96
-6y = -96

Divide each side by '-6'.
y = 16

Simplifying
y = 16

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