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Simplifying 2(5 + -3y) + -1(5y + 3) = y + -17 (5 * 2 + -3y * 2) + -1(5y + 3) = y + -17 (10 + -6y) + -1(5y + 3) = y + -17 Reorder the terms: 10 + -6y + -1(3 + 5y) = y + -17 10 + -6y + (3 * -1 + 5y * -1) = y + -17 10 + -6y + (-3 + -5y) = y + -17 Reorder the terms: 10 + -3 + -6y + -5y = y + -17 Combine like terms: 10 + -3 = 7 7 + -6y + -5y = y + -17 Combine like terms: -6y + -5y = -11y 7 + -11y = y + -17 Reorder the terms: 7 + -11y = -17 + y Solving 7 + -11y = -17 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 7 + -11y + -1y = -17 + y + -1y Combine like terms: -11y + -1y = -12y 7 + -12y = -17 + y + -1y Combine like terms: y + -1y = 0 7 + -12y = -17 + 0 7 + -12y = -17 Add '-7' to each side of the equation. 7 + -7 + -12y = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -12y = -17 + -7 -12y = -17 + -7 Combine like terms: -17 + -7 = -24 -12y = -24 Divide each side by '-12'. y = 2 Simplifying y = 2
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