8(3y-5)-5(2y-8)=20+4y

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Solution for 8(3y-5)-5(2y-8)=20+4y equation:


Simplifying
8(3y + -5) + -5(2y + -8) = 20 + 4y

Reorder the terms:
8(-5 + 3y) + -5(2y + -8) = 20 + 4y
(-5 * 8 + 3y * 8) + -5(2y + -8) = 20 + 4y
(-40 + 24y) + -5(2y + -8) = 20 + 4y

Reorder the terms:
-40 + 24y + -5(-8 + 2y) = 20 + 4y
-40 + 24y + (-8 * -5 + 2y * -5) = 20 + 4y
-40 + 24y + (40 + -10y) = 20 + 4y

Reorder the terms:
-40 + 40 + 24y + -10y = 20 + 4y

Combine like terms: -40 + 40 = 0
0 + 24y + -10y = 20 + 4y
24y + -10y = 20 + 4y

Combine like terms: 24y + -10y = 14y
14y = 20 + 4y

Solving
14y = 20 + 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.
14y + -4y = 20 + 4y + -4y

Combine like terms: 14y + -4y = 10y
10y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
10y = 20 + 0
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2

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