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Simplifying 8y + 10 = -7(y + 5) Reorder the terms: 10 + 8y = -7(y + 5) Reorder the terms: 10 + 8y = -7(5 + y) 10 + 8y = (5 * -7 + y * -7) 10 + 8y = (-35 + -7y) Solving 10 + 8y = -35 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 10 + 8y + 7y = -35 + -7y + 7y Combine like terms: 8y + 7y = 15y 10 + 15y = -35 + -7y + 7y Combine like terms: -7y + 7y = 0 10 + 15y = -35 + 0 10 + 15y = -35 Add '-10' to each side of the equation. 10 + -10 + 15y = -35 + -10 Combine like terms: 10 + -10 = 0 0 + 15y = -35 + -10 15y = -35 + -10 Combine like terms: -35 + -10 = -45 15y = -45 Divide each side by '15'. y = -3 Simplifying y = -3
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