8-5(8y-5)=-5(9y-8)+7

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Solution for 8-5(8y-5)=-5(9y-8)+7 equation:


Simplifying
8 + -5(8y + -5) = -5(9y + -8) + 7

Reorder the terms:
8 + -5(-5 + 8y) = -5(9y + -8) + 7
8 + (-5 * -5 + 8y * -5) = -5(9y + -8) + 7
8 + (25 + -40y) = -5(9y + -8) + 7

Combine like terms: 8 + 25 = 33
33 + -40y = -5(9y + -8) + 7

Reorder the terms:
33 + -40y = -5(-8 + 9y) + 7
33 + -40y = (-8 * -5 + 9y * -5) + 7
33 + -40y = (40 + -45y) + 7

Reorder the terms:
33 + -40y = 40 + 7 + -45y

Combine like terms: 40 + 7 = 47
33 + -40y = 47 + -45y

Solving
33 + -40y = 47 + -45y

Solving for variable 'y'.

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

Add '45y' to each side of the equation.
33 + -40y + 45y = 47 + -45y + 45y

Combine like terms: -40y + 45y = 5y
33 + 5y = 47 + -45y + 45y

Combine like terms: -45y + 45y = 0
33 + 5y = 47 + 0
33 + 5y = 47

Add '-33' to each side of the equation.
33 + -33 + 5y = 47 + -33

Combine like terms: 33 + -33 = 0
0 + 5y = 47 + -33
5y = 47 + -33

Combine like terms: 47 + -33 = 14
5y = 14

Divide each side by '5'.
y = 2.8

Simplifying
y = 2.8

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