3y+15=5(y-1)

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Solution for 3y+15=5(y-1) equation:


Simplifying
3y + 15 = 5(y + -1)

Reorder the terms:
15 + 3y = 5(y + -1)

Reorder the terms:
15 + 3y = 5(-1 + y)
15 + 3y = (-1 * 5 + y * 5)
15 + 3y = (-5 + 5y)

Solving
15 + 3y = -5 + 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.
15 + 3y + -5y = -5 + 5y + -5y

Combine like terms: 3y + -5y = -2y
15 + -2y = -5 + 5y + -5y

Combine like terms: 5y + -5y = 0
15 + -2y = -5 + 0
15 + -2y = -5

Add '-15' to each side of the equation.
15 + -15 + -2y = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = -5 + -15
-2y = -5 + -15

Combine like terms: -5 + -15 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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