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Simplifying 2y + 42 = 5(y + 3) Reorder the terms: 42 + 2y = 5(y + 3) Reorder the terms: 42 + 2y = 5(3 + y) 42 + 2y = (3 * 5 + y * 5) 42 + 2y = (15 + 5y) Solving 42 + 2y = 15 + 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. 42 + 2y + -5y = 15 + 5y + -5y Combine like terms: 2y + -5y = -3y 42 + -3y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 42 + -3y = 15 + 0 42 + -3y = 15 Add '-42' to each side of the equation. 42 + -42 + -3y = 15 + -42 Combine like terms: 42 + -42 = 0 0 + -3y = 15 + -42 -3y = 15 + -42 Combine like terms: 15 + -42 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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