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Simplifying 2(5y + 6) = -4[4y + 3(-1y + -6)] Reorder the terms: 2(6 + 5y) = -4[4y + 3(-1y + -6)] (6 * 2 + 5y * 2) = -4[4y + 3(-1y + -6)] (12 + 10y) = -4[4y + 3(-1y + -6)] Reorder the terms: 12 + 10y = -4[4y + 3(-6 + -1y)] 12 + 10y = -4[4y + (-6 * 3 + -1y * 3)] 12 + 10y = -4[4y + (-18 + -3y)] Reorder the terms: 12 + 10y = -4[-18 + 4y + -3y] Combine like terms: 4y + -3y = 1y 12 + 10y = -4[-18 + 1y] 12 + 10y = [-18 * -4 + 1y * -4] 12 + 10y = [72 + -4y] Solving 12 + 10y = 72 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 12 + 10y + 4y = 72 + -4y + 4y Combine like terms: 10y + 4y = 14y 12 + 14y = 72 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 14y = 72 + 0 12 + 14y = 72 Add '-12' to each side of the equation. 12 + -12 + 14y = 72 + -12 Combine like terms: 12 + -12 = 0 0 + 14y = 72 + -12 14y = 72 + -12 Combine like terms: 72 + -12 = 60 14y = 60 Divide each side by '14'. y = 4.285714286 Simplifying y = 4.285714286
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