2y+7=3(y-2)

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


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

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

Reorder the terms:
7 + 2y = 3(-2 + y)
7 + 2y = (-2 * 3 + y * 3)
7 + 2y = (-6 + 3y)

Solving
7 + 2y = -6 + 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 = -6 + 3y + -3y

Combine like terms: 2y + -3y = -1y
7 + -1y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + -1y = -6 + 0
7 + -1y = -6

Add '-7' to each side of the equation.
7 + -7 + -1y = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = -6 + -7
-1y = -6 + -7

Combine like terms: -6 + -7 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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