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Simplifying 2(5y + 5) = 4[3y + -5(-1y + 1)] Reorder the terms: 2(5 + 5y) = 4[3y + -5(-1y + 1)] (5 * 2 + 5y * 2) = 4[3y + -5(-1y + 1)] (10 + 10y) = 4[3y + -5(-1y + 1)] Reorder the terms: 10 + 10y = 4[3y + -5(1 + -1y)] 10 + 10y = 4[3y + (1 * -5 + -1y * -5)] 10 + 10y = 4[3y + (-5 + 5y)] Reorder the terms: 10 + 10y = 4[-5 + 3y + 5y] Combine like terms: 3y + 5y = 8y 10 + 10y = 4[-5 + 8y] 10 + 10y = [-5 * 4 + 8y * 4] 10 + 10y = [-20 + 32y] Solving 10 + 10y = -20 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. 10 + 10y + -32y = -20 + 32y + -32y Combine like terms: 10y + -32y = -22y 10 + -22y = -20 + 32y + -32y Combine like terms: 32y + -32y = 0 10 + -22y = -20 + 0 10 + -22y = -20 Add '-10' to each side of the equation. 10 + -10 + -22y = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -22y = -20 + -10 -22y = -20 + -10 Combine like terms: -20 + -10 = -30 -22y = -30 Divide each side by '-22'. y = 1.363636364 Simplifying y = 1.363636364
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