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Simplifying 7(y + -9) = -3(5 + y) Reorder the terms: 7(-9 + y) = -3(5 + y) (-9 * 7 + y * 7) = -3(5 + y) (-63 + 7y) = -3(5 + y) -63 + 7y = (5 * -3 + y * -3) -63 + 7y = (-15 + -3y) Solving -63 + 7y = -15 + -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. -63 + 7y + 3y = -15 + -3y + 3y Combine like terms: 7y + 3y = 10y -63 + 10y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 -63 + 10y = -15 + 0 -63 + 10y = -15 Add '63' to each side of the equation. -63 + 63 + 10y = -15 + 63 Combine like terms: -63 + 63 = 0 0 + 10y = -15 + 63 10y = -15 + 63 Combine like terms: -15 + 63 = 48 10y = 48 Divide each side by '10'. y = 4.8 Simplifying y = 4.8
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