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

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


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

Reorder the terms:
-5 + 3y = 5(2y + -2) + 3

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

Reorder the terms:
-5 + 3y = -10 + 3 + 10y

Combine like terms: -10 + 3 = -7
-5 + 3y = -7 + 10y

Solving
-5 + 3y = -7 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-5 + 3y + -10y = -7 + 10y + -10y

Combine like terms: 3y + -10y = -7y
-5 + -7y = -7 + 10y + -10y

Combine like terms: 10y + -10y = 0
-5 + -7y = -7 + 0
-5 + -7y = -7

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

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

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

Divide each side by '-7'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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