6(y+3)-3(y-2)=18

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Solution for 6(y+3)-3(y-2)=18 equation:


Simplifying
6(y + 3) + -3(y + -2) = 18

Reorder the terms:
6(3 + y) + -3(y + -2) = 18
(3 * 6 + y * 6) + -3(y + -2) = 18
(18 + 6y) + -3(y + -2) = 18

Reorder the terms:
18 + 6y + -3(-2 + y) = 18
18 + 6y + (-2 * -3 + y * -3) = 18
18 + 6y + (6 + -3y) = 18

Reorder the terms:
18 + 6 + 6y + -3y = 18

Combine like terms: 18 + 6 = 24
24 + 6y + -3y = 18

Combine like terms: 6y + -3y = 3y
24 + 3y = 18

Solving
24 + 3y = 18

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + 3y = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 3y = 18 + -24
3y = 18 + -24

Combine like terms: 18 + -24 = -6
3y = -6

Divide each side by '3'.
y = -2

Simplifying
y = -2

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