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Simplifying 2[9y + -3] = 3[4y + -3] Reorder the terms: 2[-3 + 9y] = 3[4y + -3] [-3 * 2 + 9y * 2] = 3[4y + -3] [-6 + 18y] = 3[4y + -3] Reorder the terms: -6 + 18y = 3[-3 + 4y] -6 + 18y = [-3 * 3 + 4y * 3] -6 + 18y = [-9 + 12y] Solving -6 + 18y = -9 + 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. -6 + 18y + -12y = -9 + 12y + -12y Combine like terms: 18y + -12y = 6y -6 + 6y = -9 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + 6y = -9 + 0 -6 + 6y = -9 Add '6' to each side of the equation. -6 + 6 + 6y = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = -9 + 6 6y = -9 + 6 Combine like terms: -9 + 6 = -3 6y = -3 Divide each side by '6'. y = -0.5 Simplifying y = -0.5
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