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Simplifying -5y + -17 = 2(y + 9) Reorder the terms: -17 + -5y = 2(y + 9) Reorder the terms: -17 + -5y = 2(9 + y) -17 + -5y = (9 * 2 + y * 2) -17 + -5y = (18 + 2y) Solving -17 + -5y = 18 + 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. -17 + -5y + -2y = 18 + 2y + -2y Combine like terms: -5y + -2y = -7y -17 + -7y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 -17 + -7y = 18 + 0 -17 + -7y = 18 Add '17' to each side of the equation. -17 + 17 + -7y = 18 + 17 Combine like terms: -17 + 17 = 0 0 + -7y = 18 + 17 -7y = 18 + 17 Combine like terms: 18 + 17 = 35 -7y = 35 Divide each side by '-7'. y = -5 Simplifying y = -5
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