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Simplifying 7y + -9 = 3(y + 5) Reorder the terms: -9 + 7y = 3(y + 5) Reorder the terms: -9 + 7y = 3(5 + y) -9 + 7y = (5 * 3 + y * 3) -9 + 7y = (15 + 3y) Solving -9 + 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. -9 + 7y + -3y = 15 + 3y + -3y Combine like terms: 7y + -3y = 4y -9 + 4y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + 4y = 15 + 0 -9 + 4y = 15 Add '9' to each side of the equation. -9 + 9 + 4y = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 4y = 15 + 9 4y = 15 + 9 Combine like terms: 15 + 9 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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