-8(y-3)-14=-2y-(y-5)

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Solution for -8(y-3)-14=-2y-(y-5) equation: 


Simplifying
-8(y + -3) + -14 = -2y + -1(y + -5)

Reorder the terms:
-8(-3 + y) + -14 = -2y + -1(y + -5)
(-3 * -8 + y * -8) + -14 = -2y + -1(y + -5)
(24 + -8y) + -14 = -2y + -1(y + -5)

Reorder the terms:
24 + -14 + -8y = -2y + -1(y + -5)

Combine like terms: 24 + -14 = 10
10 + -8y = -2y + -1(y + -5)

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

Reorder the terms:
10 + -8y = 5 + -2y + -1y

Combine like terms: -2y + -1y = -3y
10 + -8y = 5 + -3y

Solving
10 + -8y = 5 + -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.
10 + -8y + 3y = 5 + -3y + 3y

Combine like terms: -8y + 3y = -5y
10 + -5y = 5 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + -5y = 5 + 0
10 + -5y = 5

Add '-10' to each side of the equation.
10 + -10 + -5y = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -5y = 5 + -10
-5y = 5 + -10

Combine like terms: 5 + -10 = -5
-5y = -5

Divide each side by '-5'.
y = 1

Simplifying
y = 1

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