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Simplifying -4(y + -6) = 8y + 48 Reorder the terms: -4(-6 + y) = 8y + 48 (-6 * -4 + y * -4) = 8y + 48 (24 + -4y) = 8y + 48 Reorder the terms: 24 + -4y = 48 + 8y Solving 24 + -4y = 48 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 24 + -4y + -8y = 48 + 8y + -8y Combine like terms: -4y + -8y = -12y 24 + -12y = 48 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -12y = 48 + 0 24 + -12y = 48 Add '-24' to each side of the equation. 24 + -24 + -12y = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -12y = 48 + -24 -12y = 48 + -24 Combine like terms: 48 + -24 = 24 -12y = 24 Divide each side by '-12'. y = -2 Simplifying y = -2
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