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

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


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

Reorder the terms:
4 + -3(-2 + y) = 2y + -5
4 + (-2 * -3 + y * -3) = 2y + -5
4 + (6 + -3y) = 2y + -5

Combine like terms: 4 + 6 = 10
10 + -3y = 2y + -5

Reorder the terms:
10 + -3y = -5 + 2y

Solving
10 + -3y = -5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
10 + -3y + -2y = -5 + 2y + -2y

Combine like terms: -3y + -2y = -5y
10 + -5y = -5 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + -5y = -5 + 0
10 + -5y = -5

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

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

Combine like terms: -5 + -10 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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