-3(y+5)=12+2(y-3)

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Solution for -3(y+5)=12+2(y-3) equation:


Simplifying
-3(y + 5) = 12 + 2(y + -3)

Reorder the terms:
-3(5 + y) = 12 + 2(y + -3)
(5 * -3 + y * -3) = 12 + 2(y + -3)
(-15 + -3y) = 12 + 2(y + -3)

Reorder the terms:
-15 + -3y = 12 + 2(-3 + y)
-15 + -3y = 12 + (-3 * 2 + y * 2)
-15 + -3y = 12 + (-6 + 2y)

Combine like terms: 12 + -6 = 6
-15 + -3y = 6 + 2y

Solving
-15 + -3y = 6 + 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.
-15 + -3y + -2y = 6 + 2y + -2y

Combine like terms: -3y + -2y = -5y
-15 + -5y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + -5y = 6 + 0
-15 + -5y = 6

Add '15' to each side of the equation.
-15 + 15 + -5y = 6 + 15

Combine like terms: -15 + 15 = 0
0 + -5y = 6 + 15
-5y = 6 + 15

Combine like terms: 6 + 15 = 21
-5y = 21

Divide each side by '-5'.
y = -4.2

Simplifying
y = -4.2

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