3(y-1)=5y-15

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


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

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

Reorder the terms:
-3 + 3y = -15 + 5y

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

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

Combine like terms: 5y + -5y = 0
-3 + -2y = -15 + 0
-3 + -2y = -15

Add '3' to each side of the equation.
-3 + 3 + -2y = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = -15 + 3
-2y = -15 + 3

Combine like terms: -15 + 3 = -12
-2y = -12

Divide each side by '-2'.
y = 6

Simplifying
y = 6

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