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Simplifying 3(y + -3) + 4 = 2[-1(y + -5) + -4(2y + 1)] Reorder the terms: 3(-3 + y) + 4 = 2[-1(y + -5) + -4(2y + 1)] (-3 * 3 + y * 3) + 4 = 2[-1(y + -5) + -4(2y + 1)] (-9 + 3y) + 4 = 2[-1(y + -5) + -4(2y + 1)] Reorder the terms: -9 + 4 + 3y = 2[-1(y + -5) + -4(2y + 1)] Combine like terms: -9 + 4 = -5 -5 + 3y = 2[-1(y + -5) + -4(2y + 1)] Reorder the terms: -5 + 3y = 2[-1(-5 + y) + -4(2y + 1)] -5 + 3y = 2[(-5 * -1 + y * -1) + -4(2y + 1)] -5 + 3y = 2[(5 + -1y) + -4(2y + 1)] Reorder the terms: -5 + 3y = 2[5 + -1y + -4(1 + 2y)] -5 + 3y = 2[5 + -1y + (1 * -4 + 2y * -4)] -5 + 3y = 2[5 + -1y + (-4 + -8y)] Reorder the terms: -5 + 3y = 2[5 + -4 + -1y + -8y] Combine like terms: 5 + -4 = 1 -5 + 3y = 2[1 + -1y + -8y] Combine like terms: -1y + -8y = -9y -5 + 3y = 2[1 + -9y] -5 + 3y = [1 * 2 + -9y * 2] -5 + 3y = [2 + -18y] Solving -5 + 3y = 2 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. -5 + 3y + 18y = 2 + -18y + 18y Combine like terms: 3y + 18y = 21y -5 + 21y = 2 + -18y + 18y Combine like terms: -18y + 18y = 0 -5 + 21y = 2 + 0 -5 + 21y = 2 Add '5' to each side of the equation. -5 + 5 + 21y = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 21y = 2 + 5 21y = 2 + 5 Combine like terms: 2 + 5 = 7 21y = 7 Divide each side by '21'. y = 0.3333333333 Simplifying y = 0.3333333333
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