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Simplifying y + -1(3y + 11) = 5(y + -2) + -8y Reorder the terms: y + -1(11 + 3y) = 5(y + -2) + -8y y + (11 * -1 + 3y * -1) = 5(y + -2) + -8y y + (-11 + -3y) = 5(y + -2) + -8y Reorder the terms: -11 + y + -3y = 5(y + -2) + -8y Combine like terms: y + -3y = -2y -11 + -2y = 5(y + -2) + -8y Reorder the terms: -11 + -2y = 5(-2 + y) + -8y -11 + -2y = (-2 * 5 + y * 5) + -8y -11 + -2y = (-10 + 5y) + -8y Combine like terms: 5y + -8y = -3y -11 + -2y = -10 + -3y Solving -11 + -2y = -10 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -11 + -2y + 3y = -10 + -3y + 3y Combine like terms: -2y + 3y = 1y -11 + 1y = -10 + -3y + 3y Combine like terms: -3y + 3y = 0 -11 + 1y = -10 + 0 -11 + 1y = -10 Add '11' to each side of the equation. -11 + 11 + 1y = -10 + 11 Combine like terms: -11 + 11 = 0 0 + 1y = -10 + 11 1y = -10 + 11 Combine like terms: -10 + 11 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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