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Simplifying 5(y + -2) + -3(y + 4) = -9y Reorder the terms: 5(-2 + y) + -3(y + 4) = -9y (-2 * 5 + y * 5) + -3(y + 4) = -9y (-10 + 5y) + -3(y + 4) = -9y Reorder the terms: -10 + 5y + -3(4 + y) = -9y -10 + 5y + (4 * -3 + y * -3) = -9y -10 + 5y + (-12 + -3y) = -9y Reorder the terms: -10 + -12 + 5y + -3y = -9y Combine like terms: -10 + -12 = -22 -22 + 5y + -3y = -9y Combine like terms: 5y + -3y = 2y -22 + 2y = -9y Solving -22 + 2y = -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -22 + 2y + 9y = -9y + 9y Combine like terms: 2y + 9y = 11y -22 + 11y = -9y + 9y Combine like terms: -9y + 9y = 0 -22 + 11y = 0 Add '22' to each side of the equation. -22 + 22 + 11y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11y = 0 + 22 11y = 0 + 22 Combine like terms: 0 + 22 = 22 11y = 22 Divide each side by '11'. y = 2 Simplifying y = 2
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