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Simplifying 8y + 3(-4y + 10) = y + -15 Reorder the terms: 8y + 3(10 + -4y) = y + -15 8y + (10 * 3 + -4y * 3) = y + -15 8y + (30 + -12y) = y + -15 Reorder the terms: 30 + 8y + -12y = y + -15 Combine like terms: 8y + -12y = -4y 30 + -4y = y + -15 Reorder the terms: 30 + -4y = -15 + y Solving 30 + -4y = -15 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 30 + -4y + -1y = -15 + y + -1y Combine like terms: -4y + -1y = -5y 30 + -5y = -15 + y + -1y Combine like terms: y + -1y = 0 30 + -5y = -15 + 0 30 + -5y = -15 Add '-30' to each side of the equation. 30 + -30 + -5y = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -5y = -15 + -30 -5y = -15 + -30 Combine like terms: -15 + -30 = -45 -5y = -45 Divide each side by '-5'. y = 9 Simplifying y = 9
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