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Simplifying -3(3y + -8) + -1y = -2(y + -3) Reorder the terms: -3(-8 + 3y) + -1y = -2(y + -3) (-8 * -3 + 3y * -3) + -1y = -2(y + -3) (24 + -9y) + -1y = -2(y + -3) Combine like terms: -9y + -1y = -10y 24 + -10y = -2(y + -3) Reorder the terms: 24 + -10y = -2(-3 + y) 24 + -10y = (-3 * -2 + y * -2) 24 + -10y = (6 + -2y) Solving 24 + -10y = 6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 24 + -10y + 2y = 6 + -2y + 2y Combine like terms: -10y + 2y = -8y 24 + -8y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + -8y = 6 + 0 24 + -8y = 6 Add '-24' to each side of the equation. 24 + -24 + -8y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -8y = 6 + -24 -8y = 6 + -24 Combine like terms: 6 + -24 = -18 -8y = -18 Divide each side by '-8'. y = 2.25 Simplifying y = 2.25
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