5(2y+4)-(20y-18)=8-5y

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Solution for 5(2y+4)-(20y-18)=8-5y equation: 


Simplifying
5(2y + 4) + -1(20y + -18) = 8 + -5y

Reorder the terms:
5(4 + 2y) + -1(20y + -18) = 8 + -5y
(4 * 5 + 2y * 5) + -1(20y + -18) = 8 + -5y
(20 + 10y) + -1(20y + -18) = 8 + -5y

Reorder the terms:
20 + 10y + -1(-18 + 20y) = 8 + -5y
20 + 10y + (-18 * -1 + 20y * -1) = 8 + -5y
20 + 10y + (18 + -20y) = 8 + -5y

Reorder the terms:
20 + 18 + 10y + -20y = 8 + -5y

Combine like terms: 20 + 18 = 38
38 + 10y + -20y = 8 + -5y

Combine like terms: 10y + -20y = -10y
38 + -10y = 8 + -5y

Solving
38 + -10y = 8 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
38 + -10y + 5y = 8 + -5y + 5y

Combine like terms: -10y + 5y = -5y
38 + -5y = 8 + -5y + 5y

Combine like terms: -5y + 5y = 0
38 + -5y = 8 + 0
38 + -5y = 8

Add '-38' to each side of the equation.
38 + -38 + -5y = 8 + -38

Combine like terms: 38 + -38 = 0
0 + -5y = 8 + -38
-5y = 8 + -38

Combine like terms: 8 + -38 = -30
-5y = -30

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

Simplifying
y = 6

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