-5+3(8y+5)=5(-y+6)+2

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Solution for -5+3(8y+5)=5(-y+6)+2 equation: 


Simplifying
-5 + 3(8y + 5) = 5(-1y + 6) + 2

Reorder the terms:
-5 + 3(5 + 8y) = 5(-1y + 6) + 2
-5 + (5 * 3 + 8y * 3) = 5(-1y + 6) + 2
-5 + (15 + 24y) = 5(-1y + 6) + 2

Combine like terms: -5 + 15 = 10
10 + 24y = 5(-1y + 6) + 2

Reorder the terms:
10 + 24y = 5(6 + -1y) + 2
10 + 24y = (6 * 5 + -1y * 5) + 2
10 + 24y = (30 + -5y) + 2

Reorder the terms:
10 + 24y = 30 + 2 + -5y

Combine like terms: 30 + 2 = 32
10 + 24y = 32 + -5y

Solving
10 + 24y = 32 + -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.
10 + 24y + 5y = 32 + -5y + 5y

Combine like terms: 24y + 5y = 29y
10 + 29y = 32 + -5y + 5y

Combine like terms: -5y + 5y = 0
10 + 29y = 32 + 0
10 + 29y = 32

Add '-10' to each side of the equation.
10 + -10 + 29y = 32 + -10

Combine like terms: 10 + -10 = 0
0 + 29y = 32 + -10
29y = 32 + -10

Combine like terms: 32 + -10 = 22
29y = 22

Divide each side by '29'.
y = 0.7586206897

Simplifying
y = 0.7586206897

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