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

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Solution for 4(y-5)=3y+2(y+1) equation: 


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

Reorder the terms:
4(-5 + y) = 3y + 2(y + 1)
(-5 * 4 + y * 4) = 3y + 2(y + 1)
(-20 + 4y) = 3y + 2(y + 1)

Reorder the terms:
-20 + 4y = 3y + 2(1 + y)
-20 + 4y = 3y + (1 * 2 + y * 2)
-20 + 4y = 3y + (2 + 2y)

Reorder the terms:
-20 + 4y = 2 + 3y + 2y

Combine like terms: 3y + 2y = 5y
-20 + 4y = 2 + 5y

Solving
-20 + 4y = 2 + 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.
-20 + 4y + -5y = 2 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-20 + -1y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-20 + -1y = 2 + 0
-20 + -1y = 2

Add '20' to each side of the equation.
-20 + 20 + -1y = 2 + 20

Combine like terms: -20 + 20 = 0
0 + -1y = 2 + 20
-1y = 2 + 20

Combine like terms: 2 + 20 = 22
-1y = 22

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

Simplifying
y = -22

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