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Simplifying 4(y + 6) = -3(6y + -5) + 4y Reorder the terms: 4(6 + y) = -3(6y + -5) + 4y (6 * 4 + y * 4) = -3(6y + -5) + 4y (24 + 4y) = -3(6y + -5) + 4y Reorder the terms: 24 + 4y = -3(-5 + 6y) + 4y 24 + 4y = (-5 * -3 + 6y * -3) + 4y 24 + 4y = (15 + -18y) + 4y Combine like terms: -18y + 4y = -14y 24 + 4y = 15 + -14y Solving 24 + 4y = 15 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 24 + 4y + 14y = 15 + -14y + 14y Combine like terms: 4y + 14y = 18y 24 + 18y = 15 + -14y + 14y Combine like terms: -14y + 14y = 0 24 + 18y = 15 + 0 24 + 18y = 15 Add '-24' to each side of the equation. 24 + -24 + 18y = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 18y = 15 + -24 18y = 15 + -24 Combine like terms: 15 + -24 = -9 18y = -9 Divide each side by '18'. y = -0.5 Simplifying y = -0.5
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