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Simplifying 5(29 + -1y) + 2y = 100 (29 * 5 + -1y * 5) + 2y = 100 (145 + -5y) + 2y = 100 Combine like terms: -5y + 2y = -3y 145 + -3y = 100 Solving 145 + -3y = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + -3y = 100 + -145 Combine like terms: 145 + -145 = 0 0 + -3y = 100 + -145 -3y = 100 + -145 Combine like terms: 100 + -145 = -45 -3y = -45 Divide each side by '-3'. y = 15 Simplifying y = 15
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