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Simplifying 9y + 2(y + -11) = 4y + -6(y + -5) Reorder the terms: 9y + 2(-11 + y) = 4y + -6(y + -5) 9y + (-11 * 2 + y * 2) = 4y + -6(y + -5) 9y + (-22 + 2y) = 4y + -6(y + -5) Reorder the terms: -22 + 9y + 2y = 4y + -6(y + -5) Combine like terms: 9y + 2y = 11y -22 + 11y = 4y + -6(y + -5) Reorder the terms: -22 + 11y = 4y + -6(-5 + y) -22 + 11y = 4y + (-5 * -6 + y * -6) -22 + 11y = 4y + (30 + -6y) Reorder the terms: -22 + 11y = 30 + 4y + -6y Combine like terms: 4y + -6y = -2y -22 + 11y = 30 + -2y Solving -22 + 11y = 30 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -22 + 11y + 2y = 30 + -2y + 2y Combine like terms: 11y + 2y = 13y -22 + 13y = 30 + -2y + 2y Combine like terms: -2y + 2y = 0 -22 + 13y = 30 + 0 -22 + 13y = 30 Add '22' to each side of the equation. -22 + 22 + 13y = 30 + 22 Combine like terms: -22 + 22 = 0 0 + 13y = 30 + 22 13y = 30 + 22 Combine like terms: 30 + 22 = 52 13y = 52 Divide each side by '13'. y = 4 Simplifying y = 4
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