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Simplifying -2(-2y + 1) = -3[-3y + -5(-1y + -4)] Reorder the terms: -2(1 + -2y) = -3[-3y + -5(-1y + -4)] (1 * -2 + -2y * -2) = -3[-3y + -5(-1y + -4)] (-2 + 4y) = -3[-3y + -5(-1y + -4)] Reorder the terms: -2 + 4y = -3[-3y + -5(-4 + -1y)] -2 + 4y = -3[-3y + (-4 * -5 + -1y * -5)] -2 + 4y = -3[-3y + (20 + 5y)] Reorder the terms: -2 + 4y = -3[20 + -3y + 5y] Combine like terms: -3y + 5y = 2y -2 + 4y = -3[20 + 2y] -2 + 4y = [20 * -3 + 2y * -3] -2 + 4y = [-60 + -6y] Solving -2 + 4y = -60 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -2 + 4y + 6y = -60 + -6y + 6y Combine like terms: 4y + 6y = 10y -2 + 10y = -60 + -6y + 6y Combine like terms: -6y + 6y = 0 -2 + 10y = -60 + 0 -2 + 10y = -60 Add '2' to each side of the equation. -2 + 2 + 10y = -60 + 2 Combine like terms: -2 + 2 = 0 0 + 10y = -60 + 2 10y = -60 + 2 Combine like terms: -60 + 2 = -58 10y = -58 Divide each side by '10'. y = -5.8 Simplifying y = -5.8
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