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Simplifying 7(y + -9) = 3y + 5 Reorder the terms: 7(-9 + y) = 3y + 5 (-9 * 7 + y * 7) = 3y + 5 (-63 + 7y) = 3y + 5 Reorder the terms: -63 + 7y = 5 + 3y Solving -63 + 7y = 5 + 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 = 5 + 3y + -3y Combine like terms: 7y + -3y = 4y -63 + 4y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 -63 + 4y = 5 + 0 -63 + 4y = 5 Add '63' to each side of the equation. -63 + 63 + 4y = 5 + 63 Combine like terms: -63 + 63 = 0 0 + 4y = 5 + 63 4y = 5 + 63 Combine like terms: 5 + 63 = 68 4y = 68 Divide each side by '4'. y = 17 Simplifying y = 17
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