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

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


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

Reorder the terms:
4(-3 + y) = 5(y + 2)
(-3 * 4 + y * 4) = 5(y + 2)
(-12 + 4y) = 5(y + 2)

Reorder the terms:
-12 + 4y = 5(2 + y)
-12 + 4y = (2 * 5 + y * 5)
-12 + 4y = (10 + 5y)

Solving
-12 + 4y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-12 + 4y + -5y = 10 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-12 + -1y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + -1y = 10 + 0
-12 + -1y = 10

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

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

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

Divide each side by '-1'.
y = -22

Simplifying
y = -22

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