2(5y-2)-22=11y-1(3y+6)

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Solution for 2(5y-2)-22=11y-1(3y+6) equation:


Simplifying
2(5y + -2) + -22 = 11y + -1(3y + 6)

Reorder the terms:
2(-2 + 5y) + -22 = 11y + -1(3y + 6)
(-2 * 2 + 5y * 2) + -22 = 11y + -1(3y + 6)
(-4 + 10y) + -22 = 11y + -1(3y + 6)

Reorder the terms:
-4 + -22 + 10y = 11y + -1(3y + 6)

Combine like terms: -4 + -22 = -26
-26 + 10y = 11y + -1(3y + 6)

Reorder the terms:
-26 + 10y = 11y + -1(6 + 3y)
-26 + 10y = 11y + (6 * -1 + 3y * -1)
-26 + 10y = 11y + (-6 + -3y)

Reorder the terms:
-26 + 10y = -6 + 11y + -3y

Combine like terms: 11y + -3y = 8y
-26 + 10y = -6 + 8y

Solving
-26 + 10y = -6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-26 + 10y + -8y = -6 + 8y + -8y

Combine like terms: 10y + -8y = 2y
-26 + 2y = -6 + 8y + -8y

Combine like terms: 8y + -8y = 0
-26 + 2y = -6 + 0
-26 + 2y = -6

Add '26' to each side of the equation.
-26 + 26 + 2y = -6 + 26

Combine like terms: -26 + 26 = 0
0 + 2y = -6 + 26
2y = -6 + 26

Combine like terms: -6 + 26 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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