4-5(3-2y)=21-6y

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Solution for 4-5(3-2y)=21-6y equation:


Simplifying
4 + -5(3 + -2y) = 21 + -6y
4 + (3 * -5 + -2y * -5) = 21 + -6y
4 + (-15 + 10y) = 21 + -6y

Combine like terms: 4 + -15 = -11
-11 + 10y = 21 + -6y

Solving
-11 + 10y = 21 + -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.
-11 + 10y + 6y = 21 + -6y + 6y

Combine like terms: 10y + 6y = 16y
-11 + 16y = 21 + -6y + 6y

Combine like terms: -6y + 6y = 0
-11 + 16y = 21 + 0
-11 + 16y = 21

Add '11' to each side of the equation.
-11 + 11 + 16y = 21 + 11

Combine like terms: -11 + 11 = 0
0 + 16y = 21 + 11
16y = 21 + 11

Combine like terms: 21 + 11 = 32
16y = 32

Divide each side by '16'.
y = 2

Simplifying
y = 2

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