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Simplifying 5(y + -9) = 8y + -48 Reorder the terms: 5(-9 + y) = 8y + -48 (-9 * 5 + y * 5) = 8y + -48 (-45 + 5y) = 8y + -48 Reorder the terms: -45 + 5y = -48 + 8y Solving -45 + 5y = -48 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -45 + 5y + -8y = -48 + 8y + -8y Combine like terms: 5y + -8y = -3y -45 + -3y = -48 + 8y + -8y Combine like terms: 8y + -8y = 0 -45 + -3y = -48 + 0 -45 + -3y = -48 Add '45' to each side of the equation. -45 + 45 + -3y = -48 + 45 Combine like terms: -45 + 45 = 0 0 + -3y = -48 + 45 -3y = -48 + 45 Combine like terms: -48 + 45 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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