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Simplifying 5y + 3 = -2(y + 12) Reorder the terms: 3 + 5y = -2(y + 12) Reorder the terms: 3 + 5y = -2(12 + y) 3 + 5y = (12 * -2 + y * -2) 3 + 5y = (-24 + -2y) Solving 3 + 5y = -24 + -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. 3 + 5y + 2y = -24 + -2y + 2y Combine like terms: 5y + 2y = 7y 3 + 7y = -24 + -2y + 2y Combine like terms: -2y + 2y = 0 3 + 7y = -24 + 0 3 + 7y = -24 Add '-3' to each side of the equation. 3 + -3 + 7y = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = -24 + -3 7y = -24 + -3 Combine like terms: -24 + -3 = -27 7y = -27 Divide each side by '7'. y = -3.857142857 Simplifying y = -3.857142857
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