3y+6(y+3)-(8y-16)=60

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Solution for 3y+6(y+3)-(8y-16)=60 equation:


Simplifying
3y + 6(y + 3) + -1(8y + -16) = 60

Reorder the terms:
3y + 6(3 + y) + -1(8y + -16) = 60
3y + (3 * 6 + y * 6) + -1(8y + -16) = 60
3y + (18 + 6y) + -1(8y + -16) = 60

Reorder the terms:
3y + 18 + 6y + -1(-16 + 8y) = 60
3y + 18 + 6y + (-16 * -1 + 8y * -1) = 60
3y + 18 + 6y + (16 + -8y) = 60

Reorder the terms:
18 + 16 + 3y + 6y + -8y = 60

Combine like terms: 18 + 16 = 34
34 + 3y + 6y + -8y = 60

Combine like terms: 3y + 6y = 9y
34 + 9y + -8y = 60

Combine like terms: 9y + -8y = 1y
34 + 1y = 60

Solving
34 + 1y = 60

Solving for variable 'y'.

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

Add '-34' to each side of the equation.
34 + -34 + 1y = 60 + -34

Combine like terms: 34 + -34 = 0
0 + 1y = 60 + -34
1y = 60 + -34

Combine like terms: 60 + -34 = 26
1y = 26

Divide each side by '1'.
y = 26

Simplifying
y = 26

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