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Simplifying 3(y + 3) + 5y = 4(y + 1) + 5 Reorder the terms: 3(3 + y) + 5y = 4(y + 1) + 5 (3 * 3 + y * 3) + 5y = 4(y + 1) + 5 (9 + 3y) + 5y = 4(y + 1) + 5 Combine like terms: 3y + 5y = 8y 9 + 8y = 4(y + 1) + 5 Reorder the terms: 9 + 8y = 4(1 + y) + 5 9 + 8y = (1 * 4 + y * 4) + 5 9 + 8y = (4 + 4y) + 5 Reorder the terms: 9 + 8y = 4 + 5 + 4y Combine like terms: 4 + 5 = 9 9 + 8y = 9 + 4y Add '-9' to each side of the equation. 9 + -9 + 8y = 9 + -9 + 4y Combine like terms: 9 + -9 = 0 0 + 8y = 9 + -9 + 4y 8y = 9 + -9 + 4y Combine like terms: 9 + -9 = 0 8y = 0 + 4y 8y = 4y Solving 8y = 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. 8y + -4y = 4y + -4y Combine like terms: 8y + -4y = 4y 4y = 4y + -4y Combine like terms: 4y + -4y = 0 4y = 0 Divide each side by '4'. y = 0 Simplifying y = 0
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