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Simplifying 4y + 46 = -5(y + -2) Reorder the terms: 46 + 4y = -5(y + -2) Reorder the terms: 46 + 4y = -5(-2 + y) 46 + 4y = (-2 * -5 + y * -5) 46 + 4y = (10 + -5y) Solving 46 + 4y = 10 + -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. 46 + 4y + 5y = 10 + -5y + 5y Combine like terms: 4y + 5y = 9y 46 + 9y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 46 + 9y = 10 + 0 46 + 9y = 10 Add '-46' to each side of the equation. 46 + -46 + 9y = 10 + -46 Combine like terms: 46 + -46 = 0 0 + 9y = 10 + -46 9y = 10 + -46 Combine like terms: 10 + -46 = -36 9y = -36 Divide each side by '9'. y = -4 Simplifying y = -4
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