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

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


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

Reorder the terms:
-6(2 + y) + 5(y + 3) = 16
(2 * -6 + y * -6) + 5(y + 3) = 16
(-12 + -6y) + 5(y + 3) = 16

Reorder the terms:
-12 + -6y + 5(3 + y) = 16
-12 + -6y + (3 * 5 + y * 5) = 16
-12 + -6y + (15 + 5y) = 16

Reorder the terms:
-12 + 15 + -6y + 5y = 16

Combine like terms: -12 + 15 = 3
3 + -6y + 5y = 16

Combine like terms: -6y + 5y = -1y
3 + -1y = 16

Solving
3 + -1y = 16

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 16 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 16 + -3
-1y = 16 + -3

Combine like terms: 16 + -3 = 13
-1y = 13

Divide each side by '-1'.
y = -13

Simplifying
y = -13

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