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Simplifying 5y + 10 = -2(4y + 7) Reorder the terms: 10 + 5y = -2(4y + 7) Reorder the terms: 10 + 5y = -2(7 + 4y) 10 + 5y = (7 * -2 + 4y * -2) 10 + 5y = (-14 + -8y) Solving 10 + 5y = -14 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 10 + 5y + 8y = -14 + -8y + 8y Combine like terms: 5y + 8y = 13y 10 + 13y = -14 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + 13y = -14 + 0 10 + 13y = -14 Add '-10' to each side of the equation. 10 + -10 + 13y = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 13y = -14 + -10 13y = -14 + -10 Combine like terms: -14 + -10 = -24 13y = -24 Divide each side by '13'. y = -1.846153846 Simplifying y = -1.846153846
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