5(y-3)-2y=-30

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Solution for 5(y-3)-2y=-30 equation:


Simplifying
5(y + -3) + -2y = -30

Reorder the terms:
5(-3 + y) + -2y = -30
(-3 * 5 + y * 5) + -2y = -30
(-15 + 5y) + -2y = -30

Combine like terms: 5y + -2y = 3y
-15 + 3y = -30

Solving
-15 + 3y = -30

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 3y = -30 + 15

Combine like terms: -15 + 15 = 0
0 + 3y = -30 + 15
3y = -30 + 15

Combine like terms: -30 + 15 = -15
3y = -15

Divide each side by '3'.
y = -5

Simplifying
y = -5

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