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Simplifying 6(y + 50) + -3(4y + 2) = 0 Reorder the terms: 6(50 + y) + -3(4y + 2) = 0 (50 * 6 + y * 6) + -3(4y + 2) = 0 (300 + 6y) + -3(4y + 2) = 0 Reorder the terms: 300 + 6y + -3(2 + 4y) = 0 300 + 6y + (2 * -3 + 4y * -3) = 0 300 + 6y + (-6 + -12y) = 0 Reorder the terms: 300 + -6 + 6y + -12y = 0 Combine like terms: 300 + -6 = 294 294 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y 294 + -6y = 0 Solving 294 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-294' to each side of the equation. 294 + -294 + -6y = 0 + -294 Combine like terms: 294 + -294 = 0 0 + -6y = 0 + -294 -6y = 0 + -294 Combine like terms: 0 + -294 = -294 -6y = -294 Divide each side by '-6'. y = 49 Simplifying y = 49
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