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Simplifying 3y + 35 = 5(y + 9) Reorder the terms: 35 + 3y = 5(y + 9) Reorder the terms: 35 + 3y = 5(9 + y) 35 + 3y = (9 * 5 + y * 5) 35 + 3y = (45 + 5y) Solving 35 + 3y = 45 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 35 + 3y + -5y = 45 + 5y + -5y Combine like terms: 3y + -5y = -2y 35 + -2y = 45 + 5y + -5y Combine like terms: 5y + -5y = 0 35 + -2y = 45 + 0 35 + -2y = 45 Add '-35' to each side of the equation. 35 + -35 + -2y = 45 + -35 Combine like terms: 35 + -35 = 0 0 + -2y = 45 + -35 -2y = 45 + -35 Combine like terms: 45 + -35 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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