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Simplifying 8y + -3(y + -5) = 4(y + 2) + -5 Reorder the terms: 8y + -3(-5 + y) = 4(y + 2) + -5 8y + (-5 * -3 + y * -3) = 4(y + 2) + -5 8y + (15 + -3y) = 4(y + 2) + -5 Reorder the terms: 15 + 8y + -3y = 4(y + 2) + -5 Combine like terms: 8y + -3y = 5y 15 + 5y = 4(y + 2) + -5 Reorder the terms: 15 + 5y = 4(2 + y) + -5 15 + 5y = (2 * 4 + y * 4) + -5 15 + 5y = (8 + 4y) + -5 Reorder the terms: 15 + 5y = 8 + -5 + 4y Combine like terms: 8 + -5 = 3 15 + 5y = 3 + 4y Solving 15 + 5y = 3 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 15 + 5y + -4y = 3 + 4y + -4y Combine like terms: 5y + -4y = 1y 15 + 1y = 3 + 4y + -4y Combine like terms: 4y + -4y = 0 15 + 1y = 3 + 0 15 + 1y = 3 Add '-15' to each side of the equation. 15 + -15 + 1y = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = 3 + -15 1y = 3 + -15 Combine like terms: 3 + -15 = -12 1y = -12 Divide each side by '1'. y = -12 Simplifying y = -12
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