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Simplifying 9y + -17 = 4(y + 7) Reorder the terms: -17 + 9y = 4(y + 7) Reorder the terms: -17 + 9y = 4(7 + y) -17 + 9y = (7 * 4 + y * 4) -17 + 9y = (28 + 4y) Solving -17 + 9y = 28 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -17 + 9y + -4y = 28 + 4y + -4y Combine like terms: 9y + -4y = 5y -17 + 5y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 -17 + 5y = 28 + 0 -17 + 5y = 28 Add '17' to each side of the equation. -17 + 17 + 5y = 28 + 17 Combine like terms: -17 + 17 = 0 0 + 5y = 28 + 17 5y = 28 + 17 Combine like terms: 28 + 17 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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