3(2y-7)-(y-16)=8

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Solution for 3(2y-7)-(y-16)=8 equation: 


Simplifying
3(2y + -7) + -1(y + -16) = 8

Reorder the terms:
3(-7 + 2y) + -1(y + -16) = 8
(-7 * 3 + 2y * 3) + -1(y + -16) = 8
(-21 + 6y) + -1(y + -16) = 8

Reorder the terms:
-21 + 6y + -1(-16 + y) = 8
-21 + 6y + (-16 * -1 + y * -1) = 8
-21 + 6y + (16 + -1y) = 8

Reorder the terms:
-21 + 16 + 6y + -1y = 8

Combine like terms: -21 + 16 = -5
-5 + 6y + -1y = 8

Combine like terms: 6y + -1y = 5y
-5 + 5y = 8

Solving
-5 + 5y = 8

Solving for variable 'y'.

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

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

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

Combine like terms: 8 + 5 = 13
5y = 13

Divide each side by '5'.
y = 2.6

Simplifying
y = 2.6

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