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Simplifying 5(y + 3) = -4y + 42 Reorder the terms: 5(3 + y) = -4y + 42 (3 * 5 + y * 5) = -4y + 42 (15 + 5y) = -4y + 42 Reorder the terms: 15 + 5y = 42 + -4y Solving 15 + 5y = 42 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 15 + 5y + 4y = 42 + -4y + 4y Combine like terms: 5y + 4y = 9y 15 + 9y = 42 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + 9y = 42 + 0 15 + 9y = 42 Add '-15' to each side of the equation. 15 + -15 + 9y = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 9y = 42 + -15 9y = 42 + -15 Combine like terms: 42 + -15 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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