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

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Solution for 5(2y-3)=2(3y+1) equation:


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

Reorder the terms:
5(-3 + 2y) = 2(3y + 1)
(-3 * 5 + 2y * 5) = 2(3y + 1)
(-15 + 10y) = 2(3y + 1)

Reorder the terms:
-15 + 10y = 2(1 + 3y)
-15 + 10y = (1 * 2 + 3y * 2)
-15 + 10y = (2 + 6y)

Solving
-15 + 10y = 2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-15 + 10y + -6y = 2 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-15 + 4y = 2 + 6y + -6y

Combine like terms: 6y + -6y = 0
-15 + 4y = 2 + 0
-15 + 4y = 2

Add '15' to each side of the equation.
-15 + 15 + 4y = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 4y = 2 + 15
4y = 2 + 15

Combine like terms: 2 + 15 = 17
4y = 17

Divide each side by '4'.
y = 4.25

Simplifying
y = 4.25

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