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Simplifying 17y + 24 = -2y + 100 Reorder the terms: 24 + 17y = -2y + 100 Reorder the terms: 24 + 17y = 100 + -2y Solving 24 + 17y = 100 + -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. 24 + 17y + 2y = 100 + -2y + 2y Combine like terms: 17y + 2y = 19y 24 + 19y = 100 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + 19y = 100 + 0 24 + 19y = 100 Add '-24' to each side of the equation. 24 + -24 + 19y = 100 + -24 Combine like terms: 24 + -24 = 0 0 + 19y = 100 + -24 19y = 100 + -24 Combine like terms: 100 + -24 = 76 19y = 76 Divide each side by '19'. y = 4 Simplifying y = 4
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