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Simplifying 7(1 + y) = 6(y + -4) (1 * 7 + y * 7) = 6(y + -4) (7 + 7y) = 6(y + -4) Reorder the terms: 7 + 7y = 6(-4 + y) 7 + 7y = (-4 * 6 + y * 6) 7 + 7y = (-24 + 6y) Solving 7 + 7y = -24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 7 + 7y + -6y = -24 + 6y + -6y Combine like terms: 7y + -6y = 1y 7 + 1y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + 1y = -24 + 0 7 + 1y = -24 Add '-7' to each side of the equation. 7 + -7 + 1y = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = -24 + -7 1y = -24 + -7 Combine like terms: -24 + -7 = -31 1y = -31 Divide each side by '1'. y = -31 Simplifying y = -31
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