6-4(3-y)=15+3y

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Solution for 6-4(3-y)=15+3y equation:


Simplifying
6 + -4(3 + -1y) = 15 + 3y
6 + (3 * -4 + -1y * -4) = 15 + 3y
6 + (-12 + 4y) = 15 + 3y

Combine like terms: 6 + -12 = -6
-6 + 4y = 15 + 3y

Solving
-6 + 4y = 15 + 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.
-6 + 4y + -3y = 15 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-6 + 1y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 1y = 15 + 0
-6 + 1y = 15

Add '6' to each side of the equation.
-6 + 6 + 1y = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 15 + 6
1y = 15 + 6

Combine like terms: 15 + 6 = 21
1y = 21

Divide each side by '1'.
y = 21

Simplifying
y = 21

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