3y-2(5y-5)=5-4(-3-y)

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Solution for 3y-2(5y-5)=5-4(-3-y) equation: 


Simplifying
3y + -2(5y + -5) = 5 + -4(-3 + -1y)

Reorder the terms:
3y + -2(-5 + 5y) = 5 + -4(-3 + -1y)
3y + (-5 * -2 + 5y * -2) = 5 + -4(-3 + -1y)
3y + (10 + -10y) = 5 + -4(-3 + -1y)

Reorder the terms:
10 + 3y + -10y = 5 + -4(-3 + -1y)

Combine like terms: 3y + -10y = -7y
10 + -7y = 5 + -4(-3 + -1y)
10 + -7y = 5 + (-3 * -4 + -1y * -4)
10 + -7y = 5 + (12 + 4y)

Combine like terms: 5 + 12 = 17
10 + -7y = 17 + 4y

Solving
10 + -7y = 17 + 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.
10 + -7y + -4y = 17 + 4y + -4y

Combine like terms: -7y + -4y = -11y
10 + -11y = 17 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -11y = 17 + 0
10 + -11y = 17

Add '-10' to each side of the equation.
10 + -10 + -11y = 17 + -10

Combine like terms: 10 + -10 = 0
0 + -11y = 17 + -10
-11y = 17 + -10

Combine like terms: 17 + -10 = 7
-11y = 7

Divide each side by '-11'.
y = -0.6363636364

Simplifying
y = -0.6363636364

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