-8(y-10)-15=2y-(y-5)

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Solution for -8(y-10)-15=2y-(y-5) equation:


Simplifying
-8(y + -10) + -15 = 2y + -1(y + -5)

Reorder the terms:
-8(-10 + y) + -15 = 2y + -1(y + -5)
(-10 * -8 + y * -8) + -15 = 2y + -1(y + -5)
(80 + -8y) + -15 = 2y + -1(y + -5)

Reorder the terms:
80 + -15 + -8y = 2y + -1(y + -5)

Combine like terms: 80 + -15 = 65
65 + -8y = 2y + -1(y + -5)

Reorder the terms:
65 + -8y = 2y + -1(-5 + y)
65 + -8y = 2y + (-5 * -1 + y * -1)
65 + -8y = 2y + (5 + -1y)

Reorder the terms:
65 + -8y = 5 + 2y + -1y

Combine like terms: 2y + -1y = 1y
65 + -8y = 5 + 1y

Solving
65 + -8y = 5 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
65 + -8y + -1y = 5 + 1y + -1y

Combine like terms: -8y + -1y = -9y
65 + -9y = 5 + 1y + -1y

Combine like terms: 1y + -1y = 0
65 + -9y = 5 + 0
65 + -9y = 5

Add '-65' to each side of the equation.
65 + -65 + -9y = 5 + -65

Combine like terms: 65 + -65 = 0
0 + -9y = 5 + -65
-9y = 5 + -65

Combine like terms: 5 + -65 = -60
-9y = -60

Divide each side by '-9'.
y = 6.666666667

Simplifying
y = 6.666666667

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