6(2y-1)-(8y-3)=21

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Solution for 6(2y-1)-(8y-3)=21 equation:


Simplifying
6(2y + -1) + -1(8y + -3) = 21

Reorder the terms:
6(-1 + 2y) + -1(8y + -3) = 21
(-1 * 6 + 2y * 6) + -1(8y + -3) = 21
(-6 + 12y) + -1(8y + -3) = 21

Reorder the terms:
-6 + 12y + -1(-3 + 8y) = 21
-6 + 12y + (-3 * -1 + 8y * -1) = 21
-6 + 12y + (3 + -8y) = 21

Reorder the terms:
-6 + 3 + 12y + -8y = 21

Combine like terms: -6 + 3 = -3
-3 + 12y + -8y = 21

Combine like terms: 12y + -8y = 4y
-3 + 4y = 21

Solving
-3 + 4y = 21

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 4y = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 4y = 21 + 3
4y = 21 + 3

Combine like terms: 21 + 3 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6

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