-5(2y-7)-y=-3y+15

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Solution for -5(2y-7)-y=-3y+15 equation:


Simplifying
-5(2y + -7) + -1y = -3y + 15

Reorder the terms:
-5(-7 + 2y) + -1y = -3y + 15
(-7 * -5 + 2y * -5) + -1y = -3y + 15
(35 + -10y) + -1y = -3y + 15

Combine like terms: -10y + -1y = -11y
35 + -11y = -3y + 15

Reorder the terms:
35 + -11y = 15 + -3y

Solving
35 + -11y = 15 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
35 + -11y + 3y = 15 + -3y + 3y

Combine like terms: -11y + 3y = -8y
35 + -8y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
35 + -8y = 15 + 0
35 + -8y = 15

Add '-35' to each side of the equation.
35 + -35 + -8y = 15 + -35

Combine like terms: 35 + -35 = 0
0 + -8y = 15 + -35
-8y = 15 + -35

Combine like terms: 15 + -35 = -20
-8y = -20

Divide each side by '-8'.
y = 2.5

Simplifying
y = 2.5

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