-8(y-5)-10=-24-(y-5)

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Solution for -8(y-5)-10=-24-(y-5) equation:


Simplifying
-8(y + -5) + -10 = -24 + -1(y + -5)

Reorder the terms:
-8(-5 + y) + -10 = -24 + -1(y + -5)
(-5 * -8 + y * -8) + -10 = -24 + -1(y + -5)
(40 + -8y) + -10 = -24 + -1(y + -5)

Reorder the terms:
40 + -10 + -8y = -24 + -1(y + -5)

Combine like terms: 40 + -10 = 30
30 + -8y = -24 + -1(y + -5)

Reorder the terms:
30 + -8y = -24 + -1(-5 + y)
30 + -8y = -24 + (-5 * -1 + y * -1)
30 + -8y = -24 + (5 + -1y)

Combine like terms: -24 + 5 = -19
30 + -8y = -19 + -1y

Solving
30 + -8y = -19 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
30 + -8y + y = -19 + -1y + y

Combine like terms: -8y + y = -7y
30 + -7y = -19 + -1y + y

Combine like terms: -1y + y = 0
30 + -7y = -19 + 0
30 + -7y = -19

Add '-30' to each side of the equation.
30 + -30 + -7y = -19 + -30

Combine like terms: 30 + -30 = 0
0 + -7y = -19 + -30
-7y = -19 + -30

Combine like terms: -19 + -30 = -49
-7y = -49

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

Simplifying
y = 7

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