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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 = -16y 24 + -16y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 24 + -16y = 6 + 0 24 + -16y = 6 Add '-24' to each side of the equation. 24 + -24 + -16y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -16y = 6 + -24 -16y = 6 + -24 Combine like terms: 6 + -24 = -18 -16y = -18 Divide each side by '-16'. y = 1.125 Simplifying y = 1.125
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