5(3y+2)=8y-11

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Solution for 5(3y+2)=8y-11 equation:


Simplifying
5(3y + 2) = 8y + -11

Reorder the terms:
5(2 + 3y) = 8y + -11
(2 * 5 + 3y * 5) = 8y + -11
(10 + 15y) = 8y + -11

Reorder the terms:
10 + 15y = -11 + 8y

Solving
10 + 15y = -11 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
10 + 15y + -8y = -11 + 8y + -8y

Combine like terms: 15y + -8y = 7y
10 + 7y = -11 + 8y + -8y

Combine like terms: 8y + -8y = 0
10 + 7y = -11 + 0
10 + 7y = -11

Add '-10' to each side of the equation.
10 + -10 + 7y = -11 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = -11 + -10
7y = -11 + -10

Combine like terms: -11 + -10 = -21
7y = -21

Divide each side by '7'.
y = -3

Simplifying
y = -3

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