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Simplifying -3(-6y + 8) + -1y = 3(y + -4) + -4 Reorder the terms: -3(8 + -6y) + -1y = 3(y + -4) + -4 (8 * -3 + -6y * -3) + -1y = 3(y + -4) + -4 (-24 + 18y) + -1y = 3(y + -4) + -4 Combine like terms: 18y + -1y = 17y -24 + 17y = 3(y + -4) + -4 Reorder the terms: -24 + 17y = 3(-4 + y) + -4 -24 + 17y = (-4 * 3 + y * 3) + -4 -24 + 17y = (-12 + 3y) + -4 Reorder the terms: -24 + 17y = -12 + -4 + 3y Combine like terms: -12 + -4 = -16 -24 + 17y = -16 + 3y Solving -24 + 17y = -16 + 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 + 17y + -3y = -16 + 3y + -3y Combine like terms: 17y + -3y = 14y -24 + 14y = -16 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 14y = -16 + 0 -24 + 14y = -16 Add '24' to each side of the equation. -24 + 24 + 14y = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 14y = -16 + 24 14y = -16 + 24 Combine like terms: -16 + 24 = 8 14y = 8 Divide each side by '14'. y = 0.5714285714 Simplifying y = 0.5714285714
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