-5(5y-2)-y=-3(y-3)

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


Simplifying
-5(5y + -2) + -1y = -3(y + -3)

Reorder the terms:
-5(-2 + 5y) + -1y = -3(y + -3)
(-2 * -5 + 5y * -5) + -1y = -3(y + -3)
(10 + -25y) + -1y = -3(y + -3)

Combine like terms: -25y + -1y = -26y
10 + -26y = -3(y + -3)

Reorder the terms:
10 + -26y = -3(-3 + y)
10 + -26y = (-3 * -3 + y * -3)
10 + -26y = (9 + -3y)

Solving
10 + -26y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
10 + -26y + 3y = 9 + -3y + 3y

Combine like terms: -26y + 3y = -23y
10 + -23y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + -23y = 9 + 0
10 + -23y = 9

Add '-10' to each side of the equation.
10 + -10 + -23y = 9 + -10

Combine like terms: 10 + -10 = 0
0 + -23y = 9 + -10
-23y = 9 + -10

Combine like terms: 9 + -10 = -1
-23y = -1

Divide each side by '-23'.
y = 0.04347826087

Simplifying
y = 0.04347826087

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