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Simplifying 3(y + 3) + 5 = 4(2y + 1) + 5 Reorder the terms: 3(3 + y) + 5 = 4(2y + 1) + 5 (3 * 3 + y * 3) + 5 = 4(2y + 1) + 5 (9 + 3y) + 5 = 4(2y + 1) + 5 Reorder the terms: 9 + 5 + 3y = 4(2y + 1) + 5 Combine like terms: 9 + 5 = 14 14 + 3y = 4(2y + 1) + 5 Reorder the terms: 14 + 3y = 4(1 + 2y) + 5 14 + 3y = (1 * 4 + 2y * 4) + 5 14 + 3y = (4 + 8y) + 5 Reorder the terms: 14 + 3y = 4 + 5 + 8y Combine like terms: 4 + 5 = 9 14 + 3y = 9 + 8y Solving 14 + 3y = 9 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 14 + 3y + -8y = 9 + 8y + -8y Combine like terms: 3y + -8y = -5y 14 + -5y = 9 + 8y + -8y Combine like terms: 8y + -8y = 0 14 + -5y = 9 + 0 14 + -5y = 9 Add '-14' to each side of the equation. 14 + -14 + -5y = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5y = 9 + -14 -5y = 9 + -14 Combine like terms: 9 + -14 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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