4+2(3-2y)=4(3y-5)-6y

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Solution for 4+2(3-2y)=4(3y-5)-6y equation: 


Simplifying
4 + 2(3 + -2y) = 4(3y + -5) + -6y
4 + (3 * 2 + -2y * 2) = 4(3y + -5) + -6y
4 + (6 + -4y) = 4(3y + -5) + -6y

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

Reorder the terms:
10 + -4y = 4(-5 + 3y) + -6y
10 + -4y = (-5 * 4 + 3y * 4) + -6y
10 + -4y = (-20 + 12y) + -6y

Combine like terms: 12y + -6y = 6y
10 + -4y = -20 + 6y

Solving
10 + -4y = -20 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
10 + -4y + -6y = -20 + 6y + -6y

Combine like terms: -4y + -6y = -10y
10 + -10y = -20 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + -10y = -20 + 0
10 + -10y = -20

Add '-10' to each side of the equation.
10 + -10 + -10y = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -10y = -20 + -10
-10y = -20 + -10

Combine like terms: -20 + -10 = -30
-10y = -30

Divide each side by '-10'.
y = 3

Simplifying
y = 3

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