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Simplifying -8y + 10 = -3(y + 5) Reorder the terms: 10 + -8y = -3(y + 5) Reorder the terms: 10 + -8y = -3(5 + y) 10 + -8y = (5 * -3 + y * -3) 10 + -8y = (-15 + -3y) Solving 10 + -8y = -15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 10 + -8y + 3y = -15 + -3y + 3y Combine like terms: -8y + 3y = -5y 10 + -5y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 10 + -5y = -15 + 0 10 + -5y = -15 Add '-10' to each side of the equation. 10 + -10 + -5y = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -5y = -15 + -10 -5y = -15 + -10 Combine like terms: -15 + -10 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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