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Simplifying -3(y + 1) = -6(4y + -2) + 3y Reorder the terms: -3(1 + y) = -6(4y + -2) + 3y (1 * -3 + y * -3) = -6(4y + -2) + 3y (-3 + -3y) = -6(4y + -2) + 3y Reorder the terms: -3 + -3y = -6(-2 + 4y) + 3y -3 + -3y = (-2 * -6 + 4y * -6) + 3y -3 + -3y = (12 + -24y) + 3y Combine like terms: -24y + 3y = -21y -3 + -3y = 12 + -21y Solving -3 + -3y = 12 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -3 + -3y + 21y = 12 + -21y + 21y Combine like terms: -3y + 21y = 18y -3 + 18y = 12 + -21y + 21y Combine like terms: -21y + 21y = 0 -3 + 18y = 12 + 0 -3 + 18y = 12 Add '3' to each side of the equation. -3 + 3 + 18y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 18y = 12 + 3 18y = 12 + 3 Combine like terms: 12 + 3 = 15 18y = 15 Divide each side by '18'. y = 0.8333333333 Simplifying y = 0.8333333333
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