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Simplifying -2(-4y + -3) = -4[2y + -3(y + 8)] Reorder the terms: -2(-3 + -4y) = -4[2y + -3(y + 8)] (-3 * -2 + -4y * -2) = -4[2y + -3(y + 8)] (6 + 8y) = -4[2y + -3(y + 8)] Reorder the terms: 6 + 8y = -4[2y + -3(8 + y)] 6 + 8y = -4[2y + (8 * -3 + y * -3)] 6 + 8y = -4[2y + (-24 + -3y)] Reorder the terms: 6 + 8y = -4[-24 + 2y + -3y] Combine like terms: 2y + -3y = -1y 6 + 8y = -4[-24 + -1y] 6 + 8y = [-24 * -4 + -1y * -4] 6 + 8y = [96 + 4y] Solving 6 + 8y = 96 + 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. 6 + 8y + -4y = 96 + 4y + -4y Combine like terms: 8y + -4y = 4y 6 + 4y = 96 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + 4y = 96 + 0 6 + 4y = 96 Add '-6' to each side of the equation. 6 + -6 + 4y = 96 + -6 Combine like terms: 6 + -6 = 0 0 + 4y = 96 + -6 4y = 96 + -6 Combine like terms: 96 + -6 = 90 4y = 90 Divide each side by '4'. y = 22.5 Simplifying y = 22.5
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