3(2y-4)=7y-18

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Solution for 3(2y-4)=7y-18 equation:


Simplifying
3(2y + -4) = 7y + -18

Reorder the terms:
3(-4 + 2y) = 7y + -18
(-4 * 3 + 2y * 3) = 7y + -18
(-12 + 6y) = 7y + -18

Reorder the terms:
-12 + 6y = -18 + 7y

Solving
-12 + 6y = -18 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-12 + 6y + -7y = -18 + 7y + -7y

Combine like terms: 6y + -7y = -1y
-12 + -1y = -18 + 7y + -7y

Combine like terms: 7y + -7y = 0
-12 + -1y = -18 + 0
-12 + -1y = -18

Add '12' to each side of the equation.
-12 + 12 + -1y = -18 + 12

Combine like terms: -12 + 12 = 0
0 + -1y = -18 + 12
-1y = -18 + 12

Combine like terms: -18 + 12 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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