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

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


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

Reorder the terms:
2(-5 + 2y) = 3(y + 3)
(-5 * 2 + 2y * 2) = 3(y + 3)
(-10 + 4y) = 3(y + 3)

Reorder the terms:
-10 + 4y = 3(3 + y)
-10 + 4y = (3 * 3 + y * 3)
-10 + 4y = (9 + 3y)

Solving
-10 + 4y = 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 + 4y + -3y = 9 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-10 + 1y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + 1y = 9 + 0
-10 + 1y = 9

Add '10' to each side of the equation.
-10 + 10 + 1y = 9 + 10

Combine like terms: -10 + 10 = 0
0 + 1y = 9 + 10
1y = 9 + 10

Combine like terms: 9 + 10 = 19
1y = 19

Divide each side by '1'.
y = 19

Simplifying
y = 19

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