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Simplifying 4(y + 7) = 9y + 43 Reorder the terms: 4(7 + y) = 9y + 43 (7 * 4 + y * 4) = 9y + 43 (28 + 4y) = 9y + 43 Reorder the terms: 28 + 4y = 43 + 9y Solving 28 + 4y = 43 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 28 + 4y + -9y = 43 + 9y + -9y Combine like terms: 4y + -9y = -5y 28 + -5y = 43 + 9y + -9y Combine like terms: 9y + -9y = 0 28 + -5y = 43 + 0 28 + -5y = 43 Add '-28' to each side of the equation. 28 + -28 + -5y = 43 + -28 Combine like terms: 28 + -28 = 0 0 + -5y = 43 + -28 -5y = 43 + -28 Combine like terms: 43 + -28 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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