-2y+7=3(y+4)

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Solution for -2y+7=3(y+4) equation:


Simplifying
-2y + 7 = 3(y + 4)

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

Reorder the terms:
7 + -2y = 3(4 + y)
7 + -2y = (4 * 3 + y * 3)
7 + -2y = (12 + 3y)

Solving
7 + -2y = 12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
7 + -2y + -3y = 12 + 3y + -3y

Combine like terms: -2y + -3y = -5y
7 + -5y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + -5y = 12 + 0
7 + -5y = 12

Add '-7' to each side of the equation.
7 + -7 + -5y = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -5y = 12 + -7
-5y = 12 + -7

Combine like terms: 12 + -7 = 5
-5y = 5

Divide each side by '-5'.
y = -1

Simplifying
y = -1

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