16=3(5y-6)-2y+10

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Solution for 16=3(5y-6)-2y+10 equation: 


Simplifying
16 = 3(5y + -6) + -2y + 10

Reorder the terms:
16 = 3(-6 + 5y) + -2y + 10
16 = (-6 * 3 + 5y * 3) + -2y + 10
16 = (-18 + 15y) + -2y + 10

Reorder the terms:
16 = -18 + 10 + 15y + -2y

Combine like terms: -18 + 10 = -8
16 = -8 + 15y + -2y

Combine like terms: 15y + -2y = 13y
16 = -8 + 13y

Solving
16 = -8 + 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.
16 + -13y = -8 + 13y + -13y

Combine like terms: 13y + -13y = 0
16 + -13y = -8 + 0
16 + -13y = -8

Add '-16' to each side of the equation.
16 + -16 + -13y = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -13y = -8 + -16
-13y = -8 + -16

Combine like terms: -8 + -16 = -24
-13y = -24

Divide each side by '-13'.
y = 1.846153846

Simplifying
y = 1.846153846

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