3y+7=2(y-3)

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


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

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

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

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

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

Combine like terms: 2y + -2y = 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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