(5y-11)-3(5y-11)=-8

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Solution for (5y-11)-3(5y-11)=-8 equation:


Simplifying
(5y + -11) + -3(5y + -11) = -8

Reorder the terms:
(-11 + 5y) + -3(5y + -11) = -8

Remove parenthesis around (-11 + 5y)
-11 + 5y + -3(5y + -11) = -8

Reorder the terms:
-11 + 5y + -3(-11 + 5y) = -8
-11 + 5y + (-11 * -3 + 5y * -3) = -8
-11 + 5y + (33 + -15y) = -8

Reorder the terms:
-11 + 33 + 5y + -15y = -8

Combine like terms: -11 + 33 = 22
22 + 5y + -15y = -8

Combine like terms: 5y + -15y = -10y
22 + -10y = -8

Solving
22 + -10y = -8

Solving for variable 'y'.

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

Add '-22' to each side of the equation.
22 + -22 + -10y = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -10y = -8 + -22
-10y = -8 + -22

Combine like terms: -8 + -22 = -30
-10y = -30

Divide each side by '-10'.
y = 3

Simplifying
y = 3

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