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

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


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

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

Reorder the terms:
24 + 40y = -5 + 5y

Solving
24 + 40y = -5 + 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.
24 + 40y + -5y = -5 + 5y + -5y

Combine like terms: 40y + -5y = 35y
24 + 35y = -5 + 5y + -5y

Combine like terms: 5y + -5y = 0
24 + 35y = -5 + 0
24 + 35y = -5

Add '-24' to each side of the equation.
24 + -24 + 35y = -5 + -24

Combine like terms: 24 + -24 = 0
0 + 35y = -5 + -24
35y = -5 + -24

Combine like terms: -5 + -24 = -29
35y = -29

Divide each side by '35'.
y = -0.8285714286

Simplifying
y = -0.8285714286

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