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

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


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

Reorder the terms:
2(-3 + 5y) + 8 = 3y + -5
(-3 * 2 + 5y * 2) + 8 = 3y + -5
(-6 + 10y) + 8 = 3y + -5

Reorder the terms:
-6 + 8 + 10y = 3y + -5

Combine like terms: -6 + 8 = 2
2 + 10y = 3y + -5

Reorder the terms:
2 + 10y = -5 + 3y

Solving
2 + 10y = -5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + 10y + -3y = -5 + 3y + -3y

Combine like terms: 10y + -3y = 7y
2 + 7y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 7y = -5 + 0
2 + 7y = -5

Add '-2' to each side of the equation.
2 + -2 + 7y = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 7y = -5 + -2
7y = -5 + -2

Combine like terms: -5 + -2 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1

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