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

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Solution for 5(2y+3)-1=2(3y-5)+8 equation: 


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

Reorder the terms:
5(3 + 2y) + -1 = 2(3y + -5) + 8
(3 * 5 + 2y * 5) + -1 = 2(3y + -5) + 8
(15 + 10y) + -1 = 2(3y + -5) + 8

Reorder the terms:
15 + -1 + 10y = 2(3y + -5) + 8

Combine like terms: 15 + -1 = 14
14 + 10y = 2(3y + -5) + 8

Reorder the terms:
14 + 10y = 2(-5 + 3y) + 8
14 + 10y = (-5 * 2 + 3y * 2) + 8
14 + 10y = (-10 + 6y) + 8

Reorder the terms:
14 + 10y = -10 + 8 + 6y

Combine like terms: -10 + 8 = -2
14 + 10y = -2 + 6y

Solving
14 + 10y = -2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
14 + 10y + -6y = -2 + 6y + -6y

Combine like terms: 10y + -6y = 4y
14 + 4y = -2 + 6y + -6y

Combine like terms: 6y + -6y = 0
14 + 4y = -2 + 0
14 + 4y = -2

Add '-14' to each side of the equation.
14 + -14 + 4y = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 4y = -2 + -14
4y = -2 + -14

Combine like terms: -2 + -14 = -16
4y = -16

Divide each side by '4'.
y = -4

Simplifying
y = -4

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