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Simplifying -1(4y + -17) + (-1y) = (2y + -1) + -1(-1y) Reorder the terms: -1(-17 + 4y) + (-1y) = (2y + -1) + -1(-1y) (-17 * -1 + 4y * -1) + (-1y) = (2y + -1) + -1(-1y) (17 + -4y) + (-1y) = (2y + -1) + -1(-1y) Combine like terms: -4y + (-1y) = -5y 17 + -5y = (2y + -1) + -1(-1y) Reorder the terms: 17 + -5y = (-1 + 2y) + -1(-1y) Remove parenthesis around (-1 + 2y) 17 + -5y = -1 + 2y + -1(-1y) Remove parenthesis around (-1y) 17 + -5y = -1 + 2y + -1 * -1y Multiply -1 * -1 17 + -5y = -1 + 2y + 1y Combine like terms: 2y + 1y = 3y 17 + -5y = -1 + 3y Solving 17 + -5y = -1 + 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. 17 + -5y + -3y = -1 + 3y + -3y Combine like terms: -5y + -3y = -8y 17 + -8y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 17 + -8y = -1 + 0 17 + -8y = -1 Add '-17' to each side of the equation. 17 + -17 + -8y = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -8y = -1 + -17 -8y = -1 + -17 Combine like terms: -1 + -17 = -18 -8y = -18 Divide each side by '-8'. y = 2.25 Simplifying y = 2.25
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