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

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


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

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

Combine like terms: 7 + 8 = 15
15 + -4y = 5(y + 2)

Reorder the terms:
15 + -4y = 5(2 + y)
15 + -4y = (2 * 5 + y * 5)
15 + -4y = (10 + 5y)

Solving
15 + -4y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
15 + -4y + -5y = 10 + 5y + -5y

Combine like terms: -4y + -5y = -9y
15 + -9y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
15 + -9y = 10 + 0
15 + -9y = 10

Add '-15' to each side of the equation.
15 + -15 + -9y = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -9y = 10 + -15
-9y = 10 + -15

Combine like terms: 10 + -15 = -5
-9y = -5

Divide each side by '-9'.
y = 0.5555555556

Simplifying
y = 0.5555555556

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