6(2y-1)-(11y+6)=7

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Solution for 6(2y-1)-(11y+6)=7 equation:


Simplifying
6(2y + -1) + -1(11y + 6) = 7

Reorder the terms:
6(-1 + 2y) + -1(11y + 6) = 7
(-1 * 6 + 2y * 6) + -1(11y + 6) = 7
(-6 + 12y) + -1(11y + 6) = 7

Reorder the terms:
-6 + 12y + -1(6 + 11y) = 7
-6 + 12y + (6 * -1 + 11y * -1) = 7
-6 + 12y + (-6 + -11y) = 7

Reorder the terms:
-6 + -6 + 12y + -11y = 7

Combine like terms: -6 + -6 = -12
-12 + 12y + -11y = 7

Combine like terms: 12y + -11y = 1y
-12 + 1y = 7

Solving
-12 + 1y = 7

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 1y = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 1y = 7 + 12
1y = 7 + 12

Combine like terms: 7 + 12 = 19
1y = 19

Divide each side by '1'.
y = 19

Simplifying
y = 19

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