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Simplifying 10 + 5(y + 4) = 4(y + 3) + 8 Reorder the terms: 10 + 5(4 + y) = 4(y + 3) + 8 10 + (4 * 5 + y * 5) = 4(y + 3) + 8 10 + (20 + 5y) = 4(y + 3) + 8 Combine like terms: 10 + 20 = 30 30 + 5y = 4(y + 3) + 8 Reorder the terms: 30 + 5y = 4(3 + y) + 8 30 + 5y = (3 * 4 + y * 4) + 8 30 + 5y = (12 + 4y) + 8 Reorder the terms: 30 + 5y = 12 + 8 + 4y Combine like terms: 12 + 8 = 20 30 + 5y = 20 + 4y Solving 30 + 5y = 20 + 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. 30 + 5y + -4y = 20 + 4y + -4y Combine like terms: 5y + -4y = 1y 30 + 1y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 30 + 1y = 20 + 0 30 + 1y = 20 Add '-30' to each side of the equation. 30 + -30 + 1y = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 1y = 20 + -30 1y = 20 + -30 Combine like terms: 20 + -30 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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