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Simplifying 3(4y + -3) = 4[y + -1(4y + -3)] Reorder the terms: 3(-3 + 4y) = 4[y + -1(4y + -3)] (-3 * 3 + 4y * 3) = 4[y + -1(4y + -3)] (-9 + 12y) = 4[y + -1(4y + -3)] Reorder the terms: -9 + 12y = 4[y + -1(-3 + 4y)] -9 + 12y = 4[y + (-3 * -1 + 4y * -1)] -9 + 12y = 4[y + (3 + -4y)] Reorder the terms: -9 + 12y = 4[3 + y + -4y] Combine like terms: y + -4y = -3y -9 + 12y = 4[3 + -3y] -9 + 12y = [3 * 4 + -3y * 4] -9 + 12y = [12 + -12y] Solving -9 + 12y = 12 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -9 + 12y + 12y = 12 + -12y + 12y Combine like terms: 12y + 12y = 24y -9 + 24y = 12 + -12y + 12y Combine like terms: -12y + 12y = 0 -9 + 24y = 12 + 0 -9 + 24y = 12 Add '9' to each side of the equation. -9 + 9 + 24y = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 24y = 12 + 9 24y = 12 + 9 Combine like terms: 12 + 9 = 21 24y = 21 Divide each side by '24'. y = 0.875 Simplifying y = 0.875
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