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Simplifying -3(2y + -9) + -1y = -3(y + -2) Reorder the terms: -3(-9 + 2y) + -1y = -3(y + -2) (-9 * -3 + 2y * -3) + -1y = -3(y + -2) (27 + -6y) + -1y = -3(y + -2) Combine like terms: -6y + -1y = -7y 27 + -7y = -3(y + -2) Reorder the terms: 27 + -7y = -3(-2 + y) 27 + -7y = (-2 * -3 + y * -3) 27 + -7y = (6 + -3y) Solving 27 + -7y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 27 + -7y + 3y = 6 + -3y + 3y Combine like terms: -7y + 3y = -4y 27 + -4y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 27 + -4y = 6 + 0 27 + -4y = 6 Add '-27' to each side of the equation. 27 + -27 + -4y = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -4y = 6 + -27 -4y = 6 + -27 Combine like terms: 6 + -27 = -21 -4y = -21 Divide each side by '-4'. y = 5.25 Simplifying y = 5.25
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