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Simplifying -3(6y + -8) + -1y = 3(y + -2) Reorder the terms: -3(-8 + 6y) + -1y = 3(y + -2) (-8 * -3 + 6y * -3) + -1y = 3(y + -2) (24 + -18y) + -1y = 3(y + -2) Combine like terms: -18y + -1y = -19y 24 + -19y = 3(y + -2) Reorder the terms: 24 + -19y = 3(-2 + y) 24 + -19y = (-2 * 3 + y * 3) 24 + -19y = (-6 + 3y) Solving 24 + -19y = -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. 24 + -19y + -3y = -6 + 3y + -3y Combine like terms: -19y + -3y = -22y 24 + -22y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + -22y = -6 + 0 24 + -22y = -6 Add '-24' to each side of the equation. 24 + -24 + -22y = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -22y = -6 + -24 -22y = -6 + -24 Combine like terms: -6 + -24 = -30 -22y = -30 Divide each side by '-22'. y = 1.363636364 Simplifying y = 1.363636364
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