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Simplifying -6 = 4(y + -6) + -8y Reorder the terms: -6 = 4(-6 + y) + -8y -6 = (-6 * 4 + y * 4) + -8y -6 = (-24 + 4y) + -8y Combine like terms: 4y + -8y = -4y -6 = -24 + -4y Solving -6 = -24 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -6 + 4y = -24 + -4y + 4y Combine like terms: -4y + 4y = 0 -6 + 4y = -24 + 0 -6 + 4y = -24 Add '6' to each side of the equation. -6 + 6 + 4y = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = -24 + 6 4y = -24 + 6 Combine like terms: -24 + 6 = -18 4y = -18 Divide each side by '4'. y = -4.5 Simplifying y = -4.5
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