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

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


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

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

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

Combine like terms: -6 + -22 = -28
-28 + 10y = 11y + -1(3y + 6)

Reorder the terms:
-28 + 10y = 11y + -1(6 + 3y)
-28 + 10y = 11y + (6 * -1 + 3y * -1)
-28 + 10y = 11y + (-6 + -3y)

Reorder the terms:
-28 + 10y = -6 + 11y + -3y

Combine like terms: 11y + -3y = 8y
-28 + 10y = -6 + 8y

Solving
-28 + 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.
-28 + 10y + -8y = -6 + 8y + -8y

Combine like terms: 10y + -8y = 2y
-28 + 2y = -6 + 8y + -8y

Combine like terms: 8y + -8y = 0
-28 + 2y = -6 + 0
-28 + 2y = -6

Add '28' to each side of the equation.
-28 + 28 + 2y = -6 + 28

Combine like terms: -28 + 28 = 0
0 + 2y = -6 + 28
2y = -6 + 28

Combine like terms: -6 + 28 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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