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

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


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

Reorder the terms:
3(4 + y) = 5(y + -3) + 23
(4 * 3 + y * 3) = 5(y + -3) + 23
(12 + 3y) = 5(y + -3) + 23

Reorder the terms:
12 + 3y = 5(-3 + y) + 23
12 + 3y = (-3 * 5 + y * 5) + 23
12 + 3y = (-15 + 5y) + 23

Reorder the terms:
12 + 3y = -15 + 23 + 5y

Combine like terms: -15 + 23 = 8
12 + 3y = 8 + 5y

Solving
12 + 3y = 8 + 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.
12 + 3y + -5y = 8 + 5y + -5y

Combine like terms: 3y + -5y = -2y
12 + -2y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -2y = 8 + 0
12 + -2y = 8

Add '-12' to each side of the equation.
12 + -12 + -2y = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = 8 + -12
-2y = 8 + -12

Combine like terms: 8 + -12 = -4
-2y = -4

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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