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Simplifying 3(y + -1) = 3y + 3 + -2(-9y + -3) Reorder the terms: 3(-1 + y) = 3y + 3 + -2(-9y + -3) (-1 * 3 + y * 3) = 3y + 3 + -2(-9y + -3) (-3 + 3y) = 3y + 3 + -2(-9y + -3) Reorder the terms: -3 + 3y = 3y + 3 + -2(-3 + -9y) -3 + 3y = 3y + 3 + (-3 * -2 + -9y * -2) -3 + 3y = 3y + 3 + (6 + 18y) Reorder the terms: -3 + 3y = 3 + 6 + 3y + 18y Combine like terms: 3 + 6 = 9 -3 + 3y = 9 + 3y + 18y Combine like terms: 3y + 18y = 21y -3 + 3y = 9 + 21y Solving -3 + 3y = 9 + 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 = 9 + 21y + -21y Combine like terms: 3y + -21y = -18y -3 + -18y = 9 + 21y + -21y Combine like terms: 21y + -21y = 0 -3 + -18y = 9 + 0 -3 + -18y = 9 Add '3' to each side of the equation. -3 + 3 + -18y = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -18y = 9 + 3 -18y = 9 + 3 Combine like terms: 9 + 3 = 12 -18y = 12 Divide each side by '-18'. y = -0.6666666667 Simplifying y = -0.6666666667
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