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

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


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

Reorder the terms:
-9(-5 + y) + -10 = -3y + -1(y + -5)
(-5 * -9 + y * -9) + -10 = -3y + -1(y + -5)
(45 + -9y) + -10 = -3y + -1(y + -5)

Reorder the terms:
45 + -10 + -9y = -3y + -1(y + -5)

Combine like terms: 45 + -10 = 35
35 + -9y = -3y + -1(y + -5)

Reorder the terms:
35 + -9y = -3y + -1(-5 + y)
35 + -9y = -3y + (-5 * -1 + y * -1)
35 + -9y = -3y + (5 + -1y)

Reorder the terms:
35 + -9y = 5 + -3y + -1y

Combine like terms: -3y + -1y = -4y
35 + -9y = 5 + -4y

Solving
35 + -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.
35 + -9y + 4y = 5 + -4y + 4y

Combine like terms: -9y + 4y = -5y
35 + -5y = 5 + -4y + 4y

Combine like terms: -4y + 4y = 0
35 + -5y = 5 + 0
35 + -5y = 5

Add '-35' to each side of the equation.
35 + -35 + -5y = 5 + -35

Combine like terms: 35 + -35 = 0
0 + -5y = 5 + -35
-5y = 5 + -35

Combine like terms: 5 + -35 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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