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Simplifying 4[y + -9] = 3[2y + -8] Reorder the terms: 4[-9 + y] = 3[2y + -8] [-9 * 4 + y * 4] = 3[2y + -8] [-36 + 4y] = 3[2y + -8] Reorder the terms: -36 + 4y = 3[-8 + 2y] -36 + 4y = [-8 * 3 + 2y * 3] -36 + 4y = [-24 + 6y] Solving -36 + 4y = -24 + 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. -36 + 4y + -6y = -24 + 6y + -6y Combine like terms: 4y + -6y = -2y -36 + -2y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + -2y = -24 + 0 -36 + -2y = -24 Add '36' to each side of the equation. -36 + 36 + -2y = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -2y = -24 + 36 -2y = -24 + 36 Combine like terms: -24 + 36 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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