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Simplifying 7(1 + y) = -3(y + 2) (1 * 7 + y * 7) = -3(y + 2) (7 + 7y) = -3(y + 2) Reorder the terms: 7 + 7y = -3(2 + y) 7 + 7y = (2 * -3 + y * -3) 7 + 7y = (-6 + -3y) Solving 7 + 7y = -6 + -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. 7 + 7y + 3y = -6 + -3y + 3y Combine like terms: 7y + 3y = 10y 7 + 10y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 7 + 10y = -6 + 0 7 + 10y = -6 Add '-7' to each side of the equation. 7 + -7 + 10y = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 10y = -6 + -7 10y = -6 + -7 Combine like terms: -6 + -7 = -13 10y = -13 Divide each side by '10'. y = -1.3 Simplifying y = -1.3
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