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Simplifying 2(4y + -1) + -5(1y + -2) = 17 Reorder the terms: 2(-1 + 4y) + -5(1y + -2) = 17 (-1 * 2 + 4y * 2) + -5(1y + -2) = 17 (-2 + 8y) + -5(1y + -2) = 17 Reorder the terms: -2 + 8y + -5(-2 + 1y) = 17 -2 + 8y + (-2 * -5 + 1y * -5) = 17 -2 + 8y + (10 + -5y) = 17 Reorder the terms: -2 + 10 + 8y + -5y = 17 Combine like terms: -2 + 10 = 8 8 + 8y + -5y = 17 Combine like terms: 8y + -5y = 3y 8 + 3y = 17 Solving 8 + 3y = 17 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3y = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 17 + -8 3y = 17 + -8 Combine like terms: 17 + -8 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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