5(y-3)-7y=-1

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Solution for 5(y-3)-7y=-1 equation:


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

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

Combine like terms: 5y + -7y = -2y
-15 + -2y = -1

Solving
-15 + -2y = -1

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 + -2y = -1 + 15

Combine like terms: -15 + 15 = 0
0 + -2y = -1 + 15
-2y = -1 + 15

Combine like terms: -1 + 15 = 14
-2y = 14

Divide each side by '-2'.
y = -7

Simplifying
y = -7

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