-3(y+3)=3y-7+2(2y+7)

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Solution for -3(y+3)=3y-7+2(2y+7) equation:


Simplifying
-3(y + 3) = 3y + -7 + 2(2y + 7)

Reorder the terms:
-3(3 + y) = 3y + -7 + 2(2y + 7)
(3 * -3 + y * -3) = 3y + -7 + 2(2y + 7)
(-9 + -3y) = 3y + -7 + 2(2y + 7)

Reorder the terms:
-9 + -3y = 3y + -7 + 2(7 + 2y)
-9 + -3y = 3y + -7 + (7 * 2 + 2y * 2)
-9 + -3y = 3y + -7 + (14 + 4y)

Reorder the terms:
-9 + -3y = -7 + 14 + 3y + 4y

Combine like terms: -7 + 14 = 7
-9 + -3y = 7 + 3y + 4y

Combine like terms: 3y + 4y = 7y
-9 + -3y = 7 + 7y

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

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-9 + -3y + -7y = 7 + 7y + -7y

Combine like terms: -3y + -7y = -10y
-9 + -10y = 7 + 7y + -7y

Combine like terms: 7y + -7y = 0
-9 + -10y = 7 + 0
-9 + -10y = 7

Add '9' to each side of the equation.
-9 + 9 + -10y = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -10y = 7 + 9
-10y = 7 + 9

Combine like terms: 7 + 9 = 16
-10y = 16

Divide each side by '-10'.
y = -1.6

Simplifying
y = -1.6

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