2-4(y-5)=7-9y

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Solution for 2-4(y-5)=7-9y equation:


Simplifying
2 + -4(y + -5) = 7 + -9y

Reorder the terms:
2 + -4(-5 + y) = 7 + -9y
2 + (-5 * -4 + y * -4) = 7 + -9y
2 + (20 + -4y) = 7 + -9y

Combine like terms: 2 + 20 = 22
22 + -4y = 7 + -9y

Solving
22 + -4y = 7 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
22 + -4y + 9y = 7 + -9y + 9y

Combine like terms: -4y + 9y = 5y
22 + 5y = 7 + -9y + 9y

Combine like terms: -9y + 9y = 0
22 + 5y = 7 + 0
22 + 5y = 7

Add '-22' to each side of the equation.
22 + -22 + 5y = 7 + -22

Combine like terms: 22 + -22 = 0
0 + 5y = 7 + -22
5y = 7 + -22

Combine like terms: 7 + -22 = -15
5y = -15

Divide each side by '5'.
y = -3

Simplifying
y = -3

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