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Simplifying 32(y + 10) + 29y + 3(y + -5) = 945 Reorder the terms: 32(10 + y) + 29y + 3(y + -5) = 945 (10 * 32 + y * 32) + 29y + 3(y + -5) = 945 (320 + 32y) + 29y + 3(y + -5) = 945 Reorder the terms: 320 + 32y + 29y + 3(-5 + y) = 945 320 + 32y + 29y + (-5 * 3 + y * 3) = 945 320 + 32y + 29y + (-15 + 3y) = 945 Reorder the terms: 320 + -15 + 32y + 29y + 3y = 945 Combine like terms: 320 + -15 = 305 305 + 32y + 29y + 3y = 945 Combine like terms: 32y + 29y = 61y 305 + 61y + 3y = 945 Combine like terms: 61y + 3y = 64y 305 + 64y = 945 Solving 305 + 64y = 945 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-305' to each side of the equation. 305 + -305 + 64y = 945 + -305 Combine like terms: 305 + -305 = 0 0 + 64y = 945 + -305 64y = 945 + -305 Combine like terms: 945 + -305 = 640 64y = 640 Divide each side by '64'. y = 10 Simplifying y = 10
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