3(y+4)=7(2Y-3)

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


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

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

Reorder the terms:
12 + 3y = 7(-3 + 2Y)
12 + 3y = (-3 * 7 + 2Y * 7)
12 + 3y = (-21 + 14Y)

Solving
12 + 3y = -21 + 14Y

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 3y = -21 + -12 + 14Y

Combine like terms: 12 + -12 = 0
0 + 3y = -21 + -12 + 14Y
3y = -21 + -12 + 14Y

Combine like terms: -21 + -12 = -33
3y = -33 + 14Y

Divide each side by '3'.
y = -11 + 4.666666667Y

Simplifying
y = -11 + 4.666666667Y

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