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

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


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

Reorder the terms:
4(-3 + 2y) = 2(5y + 7)
(-3 * 4 + 2y * 4) = 2(5y + 7)
(-12 + 8y) = 2(5y + 7)

Reorder the terms:
-12 + 8y = 2(7 + 5y)
-12 + 8y = (7 * 2 + 5y * 2)
-12 + 8y = (14 + 10y)

Solving
-12 + 8y = 14 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-12 + 8y + -10y = 14 + 10y + -10y

Combine like terms: 8y + -10y = -2y
-12 + -2y = 14 + 10y + -10y

Combine like terms: 10y + -10y = 0
-12 + -2y = 14 + 0
-12 + -2y = 14

Add '12' to each side of the equation.
-12 + 12 + -2y = 14 + 12

Combine like terms: -12 + 12 = 0
0 + -2y = 14 + 12
-2y = 14 + 12

Combine like terms: 14 + 12 = 26
-2y = 26

Divide each side by '-2'.
y = -13

Simplifying
y = -13

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