3(2y-6)=4y-7

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Solution for 3(2y-6)=4y-7 equation:


Simplifying
3(2y + -6) = 4y + -7

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

Reorder the terms:
-18 + 6y = -7 + 4y

Solving
-18 + 6y = -7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-18 + 6y + -4y = -7 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-18 + 2y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-18 + 2y = -7 + 0
-18 + 2y = -7

Add '18' to each side of the equation.
-18 + 18 + 2y = -7 + 18

Combine like terms: -18 + 18 = 0
0 + 2y = -7 + 18
2y = -7 + 18

Combine like terms: -7 + 18 = 11
2y = 11

Divide each side by '2'.
y = 5.5

Simplifying
y = 5.5

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