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Simplifying 7(y + -8) = -3(3 + y) Reorder the terms: 7(-8 + y) = -3(3 + y) (-8 * 7 + y * 7) = -3(3 + y) (-56 + 7y) = -3(3 + y) -56 + 7y = (3 * -3 + y * -3) -56 + 7y = (-9 + -3y) Solving -56 + 7y = -9 + -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 = -9 + -3y + 3y Combine like terms: 7y + 3y = 10y -56 + 10y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 -56 + 10y = -9 + 0 -56 + 10y = -9 Add '56' to each side of the equation. -56 + 56 + 10y = -9 + 56 Combine like terms: -56 + 56 = 0 0 + 10y = -9 + 56 10y = -9 + 56 Combine like terms: -9 + 56 = 47 10y = 47 Divide each side by '10'. y = 4.7 Simplifying y = 4.7
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