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

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


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

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

Reorder the terms:
-3 + 5y = 2(-3 + 2y)
-3 + 5y = (-3 * 2 + 2y * 2)
-3 + 5y = (-6 + 4y)

Solving
-3 + 5y = -6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-3 + 5y + -4y = -6 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-3 + 1y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + 1y = -6 + 0
-3 + 1y = -6

Add '3' to each side of the equation.
-3 + 3 + 1y = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1y = -6 + 3
1y = -6 + 3

Combine like terms: -6 + 3 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3

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