40+4y-16=13y-12-3

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Solution for 40+4y-16=13y-12-3 equation:


Simplifying
40 + 4y + -16 = 13y + -12 + -3

Reorder the terms:
40 + -16 + 4y = 13y + -12 + -3

Combine like terms: 40 + -16 = 24
24 + 4y = 13y + -12 + -3

Reorder the terms:
24 + 4y = -12 + -3 + 13y

Combine like terms: -12 + -3 = -15
24 + 4y = -15 + 13y

Solving
24 + 4y = -15 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
24 + 4y + -13y = -15 + 13y + -13y

Combine like terms: 4y + -13y = -9y
24 + -9y = -15 + 13y + -13y

Combine like terms: 13y + -13y = 0
24 + -9y = -15 + 0
24 + -9y = -15

Add '-24' to each side of the equation.
24 + -24 + -9y = -15 + -24

Combine like terms: 24 + -24 = 0
0 + -9y = -15 + -24
-9y = -15 + -24

Combine like terms: -15 + -24 = -39
-9y = -39

Divide each side by '-9'.
y = 4.333333333

Simplifying
y = 4.333333333

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