2(4y+2)=11y-17

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Solution for 2(4y+2)=11y-17 equation:


Simplifying
2(4y + 2) = 11y + -17

Reorder the terms:
2(2 + 4y) = 11y + -17
(2 * 2 + 4y * 2) = 11y + -17
(4 + 8y) = 11y + -17

Reorder the terms:
4 + 8y = -17 + 11y

Solving
4 + 8y = -17 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
4 + 8y + -11y = -17 + 11y + -11y

Combine like terms: 8y + -11y = -3y
4 + -3y = -17 + 11y + -11y

Combine like terms: 11y + -11y = 0
4 + -3y = -17 + 0
4 + -3y = -17

Add '-4' to each side of the equation.
4 + -4 + -3y = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = -17 + -4
-3y = -17 + -4

Combine like terms: -17 + -4 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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