-3(y+3)=y-5+2(4y+6)

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Solution for -3(y+3)=y-5+2(4y+6) equation:


Simplifying
-3(y + 3) = y + -5 + 2(4y + 6)

Reorder the terms:
-3(3 + y) = y + -5 + 2(4y + 6)
(3 * -3 + y * -3) = y + -5 + 2(4y + 6)
(-9 + -3y) = y + -5 + 2(4y + 6)

Reorder the terms:
-9 + -3y = y + -5 + 2(6 + 4y)
-9 + -3y = y + -5 + (6 * 2 + 4y * 2)
-9 + -3y = y + -5 + (12 + 8y)

Reorder the terms:
-9 + -3y = -5 + 12 + y + 8y

Combine like terms: -5 + 12 = 7
-9 + -3y = 7 + y + 8y

Combine like terms: y + 8y = 9y
-9 + -3y = 7 + 9y

Solving
-9 + -3y = 7 + 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.
-9 + -3y + -9y = 7 + 9y + -9y

Combine like terms: -3y + -9y = -12y
-9 + -12y = 7 + 9y + -9y

Combine like terms: 9y + -9y = 0
-9 + -12y = 7 + 0
-9 + -12y = 7

Add '9' to each side of the equation.
-9 + 9 + -12y = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -12y = 7 + 9
-12y = 7 + 9

Combine like terms: 7 + 9 = 16
-12y = 16

Divide each side by '-12'.
y = -1.333333333

Simplifying
y = -1.333333333

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