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Simplifying 7(y + 8) = -3(y + -6) Reorder the terms: 7(8 + y) = -3(y + -6) (8 * 7 + y * 7) = -3(y + -6) (56 + 7y) = -3(y + -6) Reorder the terms: 56 + 7y = -3(-6 + y) 56 + 7y = (-6 * -3 + y * -3) 56 + 7y = (18 + -3y) Solving 56 + 7y = 18 + -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. 56 + 7y + 3y = 18 + -3y + 3y Combine like terms: 7y + 3y = 10y 56 + 10y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 56 + 10y = 18 + 0 56 + 10y = 18 Add '-56' to each side of the equation. 56 + -56 + 10y = 18 + -56 Combine like terms: 56 + -56 = 0 0 + 10y = 18 + -56 10y = 18 + -56 Combine like terms: 18 + -56 = -38 10y = -38 Divide each side by '10'. y = -3.8 Simplifying y = -3.8
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