15y+-10+7=2(7y+-1)+-1y

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Solution for 15y+-10+7=2(7y+-1)+-1y equation:


Simplifying
15y + -10 + 7 = 2(7y + -1) + -1y

Reorder the terms:
-10 + 7 + 15y = 2(7y + -1) + -1y

Combine like terms: -10 + 7 = -3
-3 + 15y = 2(7y + -1) + -1y

Reorder the terms:
-3 + 15y = 2(-1 + 7y) + -1y
-3 + 15y = (-1 * 2 + 7y * 2) + -1y
-3 + 15y = (-2 + 14y) + -1y

Combine like terms: 14y + -1y = 13y
-3 + 15y = -2 + 13y

Solving
-3 + 15y = -2 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-3 + 15y + -13y = -2 + 13y + -13y

Combine like terms: 15y + -13y = 2y
-3 + 2y = -2 + 13y + -13y

Combine like terms: 13y + -13y = 0
-3 + 2y = -2 + 0
-3 + 2y = -2

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

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

Combine like terms: -2 + 3 = 1
2y = 1

Divide each side by '2'.
y = 0.5

Simplifying
y = 0.5

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