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Simplifying 3(-5y + -6) = 4[3y + 3(y + 2)] Reorder the terms: 3(-6 + -5y) = 4[3y + 3(y + 2)] (-6 * 3 + -5y * 3) = 4[3y + 3(y + 2)] (-18 + -15y) = 4[3y + 3(y + 2)] Reorder the terms: -18 + -15y = 4[3y + 3(2 + y)] -18 + -15y = 4[3y + (2 * 3 + y * 3)] -18 + -15y = 4[3y + (6 + 3y)] Reorder the terms: -18 + -15y = 4[6 + 3y + 3y] Combine like terms: 3y + 3y = 6y -18 + -15y = 4[6 + 6y] -18 + -15y = [6 * 4 + 6y * 4] -18 + -15y = [24 + 24y] Solving -18 + -15y = 24 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -18 + -15y + -24y = 24 + 24y + -24y Combine like terms: -15y + -24y = -39y -18 + -39y = 24 + 24y + -24y Combine like terms: 24y + -24y = 0 -18 + -39y = 24 + 0 -18 + -39y = 24 Add '18' to each side of the equation. -18 + 18 + -39y = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -39y = 24 + 18 -39y = 24 + 18 Combine like terms: 24 + 18 = 42 -39y = 42 Divide each side by '-39'. y = -1.076923077 Simplifying y = -1.076923077
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