3y+7=5(y-2)

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Solution for 3y+7=5(y-2) equation:


Simplifying
3y + 7 = 5(y + -2)

Reorder the terms:
7 + 3y = 5(y + -2)

Reorder the terms:
7 + 3y = 5(-2 + y)
7 + 3y = (-2 * 5 + y * 5)
7 + 3y = (-10 + 5y)

Solving
7 + 3y = -10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
7 + 3y + -5y = -10 + 5y + -5y

Combine like terms: 3y + -5y = -2y
7 + -2y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
7 + -2y = -10 + 0
7 + -2y = -10

Add '-7' to each side of the equation.
7 + -7 + -2y = -10 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = -10 + -7
-2y = -10 + -7

Combine like terms: -10 + -7 = -17
-2y = -17

Divide each side by '-2'.
y = 8.5

Simplifying
y = 8.5

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