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Simplifying (y + 7) * 5 + -7 + -1(y + -4) = 3(9 + -1y) + 5 Reorder the terms: (7 + y) * 5 + -7 + -1(y + -4) = 3(9 + -1y) + 5 Reorder the terms for easier multiplication: 5(7 + y) + -7 + -1(y + -4) = 3(9 + -1y) + 5 (7 * 5 + y * 5) + -7 + -1(y + -4) = 3(9 + -1y) + 5 (35 + 5y) + -7 + -1(y + -4) = 3(9 + -1y) + 5 Reorder the terms: 35 + 5y + -7 + -1(-4 + y) = 3(9 + -1y) + 5 35 + 5y + -7 + (-4 * -1 + y * -1) = 3(9 + -1y) + 5 35 + 5y + -7 + (4 + -1y) = 3(9 + -1y) + 5 Reorder the terms: 35 + -7 + 4 + 5y + -1y = 3(9 + -1y) + 5 Combine like terms: 35 + -7 = 28 28 + 4 + 5y + -1y = 3(9 + -1y) + 5 Combine like terms: 28 + 4 = 32 32 + 5y + -1y = 3(9 + -1y) + 5 Combine like terms: 5y + -1y = 4y 32 + 4y = 3(9 + -1y) + 5 32 + 4y = (9 * 3 + -1y * 3) + 5 32 + 4y = (27 + -3y) + 5 Reorder the terms: 32 + 4y = 27 + 5 + -3y Combine like terms: 27 + 5 = 32 32 + 4y = 32 + -3y Add '-32' to each side of the equation. 32 + -32 + 4y = 32 + -32 + -3y Combine like terms: 32 + -32 = 0 0 + 4y = 32 + -32 + -3y 4y = 32 + -32 + -3y Combine like terms: 32 + -32 = 0 4y = 0 + -3y 4y = -3y Solving 4y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 4y + 3y = -3y + 3y Combine like terms: 4y + 3y = 7y 7y = -3y + 3y Combine like terms: -3y + 3y = 0 7y = 0 Divide each side by '7'. y = 0 Simplifying y = 0
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