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Simplifying (5 + -3y) + -1(-4y + 6) = (8y + 11) + -1(3y + -6) Remove parenthesis around (5 + -3y) 5 + -3y + -1(-4y + 6) = (8y + 11) + -1(3y + -6) Reorder the terms: 5 + -3y + -1(6 + -4y) = (8y + 11) + -1(3y + -6) 5 + -3y + (6 * -1 + -4y * -1) = (8y + 11) + -1(3y + -6) 5 + -3y + (-6 + 4y) = (8y + 11) + -1(3y + -6) Reorder the terms: 5 + -6 + -3y + 4y = (8y + 11) + -1(3y + -6) Combine like terms: 5 + -6 = -1 -1 + -3y + 4y = (8y + 11) + -1(3y + -6) Combine like terms: -3y + 4y = 1y -1 + 1y = (8y + 11) + -1(3y + -6) Reorder the terms: -1 + 1y = (11 + 8y) + -1(3y + -6) Remove parenthesis around (11 + 8y) -1 + 1y = 11 + 8y + -1(3y + -6) Reorder the terms: -1 + 1y = 11 + 8y + -1(-6 + 3y) -1 + 1y = 11 + 8y + (-6 * -1 + 3y * -1) -1 + 1y = 11 + 8y + (6 + -3y) Reorder the terms: -1 + 1y = 11 + 6 + 8y + -3y Combine like terms: 11 + 6 = 17 -1 + 1y = 17 + 8y + -3y Combine like terms: 8y + -3y = 5y -1 + 1y = 17 + 5y Solving -1 + 1y = 17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -1 + 1y + -5y = 17 + 5y + -5y Combine like terms: 1y + -5y = -4y -1 + -4y = 17 + 5y + -5y Combine like terms: 5y + -5y = 0 -1 + -4y = 17 + 0 -1 + -4y = 17 Add '1' to each side of the equation. -1 + 1 + -4y = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 17 + 1 -4y = 17 + 1 Combine like terms: 17 + 1 = 18 -4y = 18 Divide each side by '-4'. y = -4.5 Simplifying y = -4.5
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