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Simplifying -4(y + -6) = 7 + -3y Reorder the terms: -4(-6 + y) = 7 + -3y (-6 * -4 + y * -4) = 7 + -3y (24 + -4y) = 7 + -3y Solving 24 + -4y = 7 + -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 + -4y + 3y = 7 + -3y + 3y Combine like terms: -4y + 3y = -1y 24 + -1y = 7 + -3y + 3y Combine like terms: -3y + 3y = 0 24 + -1y = 7 + 0 24 + -1y = 7 Add '-24' to each side of the equation. 24 + -24 + -1y = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 7 + -24 -1y = 7 + -24 Combine like terms: 7 + -24 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17
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