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Simplifying 3(y + 3) + 5y = 4(2y + 1) * 5 Reorder the terms: 3(3 + y) + 5y = 4(2y + 1) * 5 (3 * 3 + y * 3) + 5y = 4(2y + 1) * 5 (9 + 3y) + 5y = 4(2y + 1) * 5 Combine like terms: 3y + 5y = 8y 9 + 8y = 4(2y + 1) * 5 Reorder the terms: 9 + 8y = 4(1 + 2y) * 5 Reorder the terms for easier multiplication: 9 + 8y = 4 * 5(1 + 2y) Multiply 4 * 5 9 + 8y = 20(1 + 2y) 9 + 8y = (1 * 20 + 2y * 20) 9 + 8y = (20 + 40y) Solving 9 + 8y = 20 + 40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40y' to each side of the equation. 9 + 8y + -40y = 20 + 40y + -40y Combine like terms: 8y + -40y = -32y 9 + -32y = 20 + 40y + -40y Combine like terms: 40y + -40y = 0 9 + -32y = 20 + 0 9 + -32y = 20 Add '-9' to each side of the equation. 9 + -9 + -32y = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -32y = 20 + -9 -32y = 20 + -9 Combine like terms: 20 + -9 = 11 -32y = 11 Divide each side by '-32'. y = -0.34375 Simplifying y = -0.34375
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