2(2y-5)=3(y+4)

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Solution for 2(2y-5)=3(y+4) equation: 


Simplifying
2(2y + -5) = 3(y + 4)

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

Reorder the terms:
-10 + 4y = 3(4 + y)
-10 + 4y = (4 * 3 + y * 3)
-10 + 4y = (12 + 3y)

Solving
-10 + 4y = 12 + 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 = 12 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-10 + 1y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + 1y = 12 + 0
-10 + 1y = 12

Add '10' to each side of the equation.
-10 + 10 + 1y = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 1y = 12 + 10
1y = 12 + 10

Combine like terms: 12 + 10 = 22
1y = 22

Divide each side by '1'.
y = 22

Simplifying
y = 22

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