5*(5y-5)-4*(4y-5)=2

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


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

Reorder the terms:
5(-5 + 5y) + -4(4y + -5) = 2
(-5 * 5 + 5y * 5) + -4(4y + -5) = 2
(-25 + 25y) + -4(4y + -5) = 2

Reorder the terms:
-25 + 25y + -4(-5 + 4y) = 2
-25 + 25y + (-5 * -4 + 4y * -4) = 2
-25 + 25y + (20 + -16y) = 2

Reorder the terms:
-25 + 20 + 25y + -16y = 2

Combine like terms: -25 + 20 = -5
-5 + 25y + -16y = 2

Combine like terms: 25y + -16y = 9y
-5 + 9y = 2

Solving
-5 + 9y = 2

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 9y = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 9y = 2 + 5
9y = 2 + 5

Combine like terms: 2 + 5 = 7
9y = 7

Divide each side by '9'.
y = 0.7777777778

Simplifying
y = 0.7777777778

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