4(2-6y)+7=3(5-7y)

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Solution for 4(2-6y)+7=3(5-7y) equation:


Simplifying
4(2 + -6y) + 7 = 3(5 + -7y)
(2 * 4 + -6y * 4) + 7 = 3(5 + -7y)
(8 + -24y) + 7 = 3(5 + -7y)

Reorder the terms:
8 + 7 + -24y = 3(5 + -7y)

Combine like terms: 8 + 7 = 15
15 + -24y = 3(5 + -7y)
15 + -24y = (5 * 3 + -7y * 3)
15 + -24y = (15 + -21y)

Add '-15' to each side of the equation.
15 + -15 + -24y = 15 + -15 + -21y

Combine like terms: 15 + -15 = 0
0 + -24y = 15 + -15 + -21y
-24y = 15 + -15 + -21y

Combine like terms: 15 + -15 = 0
-24y = 0 + -21y
-24y = -21y

Solving
-24y = -21y

Solving for variable 'y'.

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

Add '21y' to each side of the equation.
-24y + 21y = -21y + 21y

Combine like terms: -24y + 21y = -3y
-3y = -21y + 21y

Combine like terms: -21y + 21y = 0
-3y = 0

Divide each side by '-3'.
y = 0

Simplifying
y = 0

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