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Simplifying 4y + 23 = 9(y + 7) Reorder the terms: 23 + 4y = 9(y + 7) Reorder the terms: 23 + 4y = 9(7 + y) 23 + 4y = (7 * 9 + y * 9) 23 + 4y = (63 + 9y) Solving 23 + 4y = 63 + 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. 23 + 4y + -9y = 63 + 9y + -9y Combine like terms: 4y + -9y = -5y 23 + -5y = 63 + 9y + -9y Combine like terms: 9y + -9y = 0 23 + -5y = 63 + 0 23 + -5y = 63 Add '-23' to each side of the equation. 23 + -23 + -5y = 63 + -23 Combine like terms: 23 + -23 = 0 0 + -5y = 63 + -23 -5y = 63 + -23 Combine like terms: 63 + -23 = 40 -5y = 40 Divide each side by '-5'. y = -8 Simplifying y = -8
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