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Simplifying 0 = 2[(0.25y + 35) + (0.75y + 150) + (0.5y + 75)] Reorder the terms: 0 = 2[(35 + 0.25y) + (0.75y + 150) + (0.5y + 75)] Remove parenthesis around (35 + 0.25y) 0 = 2[35 + 0.25y + (0.75y + 150) + (0.5y + 75)] Reorder the terms: 0 = 2[35 + 0.25y + (150 + 0.75y) + (0.5y + 75)] Remove parenthesis around (150 + 0.75y) 0 = 2[35 + 0.25y + 150 + 0.75y + (0.5y + 75)] Reorder the terms: 0 = 2[35 + 0.25y + 150 + 0.75y + (75 + 0.5y)] Remove parenthesis around (75 + 0.5y) 0 = 2[35 + 0.25y + 150 + 0.75y + 75 + 0.5y] Reorder the terms: 0 = 2[35 + 150 + 75 + 0.25y + 0.75y + 0.5y] Combine like terms: 35 + 150 = 185 0 = 2[185 + 75 + 0.25y + 0.75y + 0.5y] Combine like terms: 185 + 75 = 260 0 = 2[260 + 0.25y + 0.75y + 0.5y] Combine like terms: 0.25y + 0.75y = 1y 0 = 2[260 + 1y + 0.5y] Combine like terms: 1y + 0.5y = 1.5y 0 = 2[260 + 1.5y] 0 = [260 * 2 + 1.5y * 2] 0 = [520 + 3y] Solving 0 = 520 + 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. 0 + -3y = 520 + 3y + -3y Remove the zero: -3y = 520 + 3y + -3y Combine like terms: 3y + -3y = 0 -3y = 520 + 0 -3y = 520 Divide each side by '-3'. y = -173.3333333 Simplifying y = -173.3333333
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