2(4y-3)=3(2y+4)

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


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

Reorder the terms:
2(-3 + 4y) = 3(2y + 4)
(-3 * 2 + 4y * 2) = 3(2y + 4)
(-6 + 8y) = 3(2y + 4)

Reorder the terms:
-6 + 8y = 3(4 + 2y)
-6 + 8y = (4 * 3 + 2y * 3)
-6 + 8y = (12 + 6y)

Solving
-6 + 8y = 12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-6 + 8y + -6y = 12 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-6 + 2y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
-6 + 2y = 12 + 0
-6 + 2y = 12

Add '6' to each side of the equation.
-6 + 6 + 2y = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = 12 + 6
2y = 12 + 6

Combine like terms: 12 + 6 = 18
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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