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Simplifying 5y + 35 = 2(y + 4) Reorder the terms: 35 + 5y = 2(y + 4) Reorder the terms: 35 + 5y = 2(4 + y) 35 + 5y = (4 * 2 + y * 2) 35 + 5y = (8 + 2y) Solving 35 + 5y = 8 + 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. 35 + 5y + -2y = 8 + 2y + -2y Combine like terms: 5y + -2y = 3y 35 + 3y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 35 + 3y = 8 + 0 35 + 3y = 8 Add '-35' to each side of the equation. 35 + -35 + 3y = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 3y = 8 + -35 3y = 8 + -35 Combine like terms: 8 + -35 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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