-9(y-10)-15=-3y-(y-5)

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Solution for -9(y-10)-15=-3y-(y-5) equation: 


Simplifying
-9(y + -10) + -15 = -3y + -1(y + -5)

Reorder the terms:
-9(-10 + y) + -15 = -3y + -1(y + -5)
(-10 * -9 + y * -9) + -15 = -3y + -1(y + -5)
(90 + -9y) + -15 = -3y + -1(y + -5)

Reorder the terms:
90 + -15 + -9y = -3y + -1(y + -5)

Combine like terms: 90 + -15 = 75
75 + -9y = -3y + -1(y + -5)

Reorder the terms:
75 + -9y = -3y + -1(-5 + y)
75 + -9y = -3y + (-5 * -1 + y * -1)
75 + -9y = -3y + (5 + -1y)

Reorder the terms:
75 + -9y = 5 + -3y + -1y

Combine like terms: -3y + -1y = -4y
75 + -9y = 5 + -4y

Solving
75 + -9y = 5 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
75 + -9y + 4y = 5 + -4y + 4y

Combine like terms: -9y + 4y = -5y
75 + -5y = 5 + -4y + 4y

Combine like terms: -4y + 4y = 0
75 + -5y = 5 + 0
75 + -5y = 5

Add '-75' to each side of the equation.
75 + -75 + -5y = 5 + -75

Combine like terms: 75 + -75 = 0
0 + -5y = 5 + -75
-5y = 5 + -75

Combine like terms: 5 + -75 = -70
-5y = -70

Divide each side by '-5'.
y = 14

Simplifying
y = 14

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