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Simplifying -174 = -6(1 + -4y) -174 = (1 * -6 + -4y * -6) -174 = (-6 + 24y) Solving -174 = -6 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -174 + -24y = -6 + 24y + -24y Combine like terms: 24y + -24y = 0 -174 + -24y = -6 + 0 -174 + -24y = -6 Add '174' to each side of the equation. -174 + 174 + -24y = -6 + 174 Combine like terms: -174 + 174 = 0 0 + -24y = -6 + 174 -24y = -6 + 174 Combine like terms: -6 + 174 = 168 -24y = 168 Divide each side by '-24'. y = -7 Simplifying y = -7
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