2(y+4)=5(y-3)+23

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Solution for 2(y+4)=5(y-3)+23 equation: 


Simplifying
2(y + 4) = 5(y + -3) + 23

Reorder the terms:
2(4 + y) = 5(y + -3) + 23
(4 * 2 + y * 2) = 5(y + -3) + 23
(8 + 2y) = 5(y + -3) + 23

Reorder the terms:
8 + 2y = 5(-3 + y) + 23
8 + 2y = (-3 * 5 + y * 5) + 23
8 + 2y = (-15 + 5y) + 23

Reorder the terms:
8 + 2y = -15 + 23 + 5y

Combine like terms: -15 + 23 = 8
8 + 2y = 8 + 5y

Add '-8' to each side of the equation.
8 + -8 + 2y = 8 + -8 + 5y

Combine like terms: 8 + -8 = 0
0 + 2y = 8 + -8 + 5y
2y = 8 + -8 + 5y

Combine like terms: 8 + -8 = 0
2y = 0 + 5y
2y = 5y

Solving
2y = 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.
2y + -5y = 5y + -5y

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

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

Divide each side by '-3'.
y = 0

Simplifying
y = 0

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