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Simplifying -4(6 + -6y) + -1y = -3(y + -2) (6 * -4 + -6y * -4) + -1y = -3(y + -2) (-24 + 24y) + -1y = -3(y + -2) Combine like terms: 24y + -1y = 23y -24 + 23y = -3(y + -2) Reorder the terms: -24 + 23y = -3(-2 + y) -24 + 23y = (-2 * -3 + y * -3) -24 + 23y = (6 + -3y) Solving -24 + 23y = 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 + 23y + 3y = 6 + -3y + 3y Combine like terms: 23y + 3y = 26y -24 + 26y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 -24 + 26y = 6 + 0 -24 + 26y = 6 Add '24' to each side of the equation. -24 + 24 + 26y = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 26y = 6 + 24 26y = 6 + 24 Combine like terms: 6 + 24 = 30 26y = 30 Divide each side by '26'. y = 1.153846154 Simplifying y = 1.153846154
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