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Simplifying -4y + 23 = 5(y + 1) Reorder the terms: 23 + -4y = 5(y + 1) Reorder the terms: 23 + -4y = 5(1 + y) 23 + -4y = (1 * 5 + y * 5) 23 + -4y = (5 + 5y) Solving 23 + -4y = 5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 23 + -4y + -5y = 5 + 5y + -5y Combine like terms: -4y + -5y = -9y 23 + -9y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 23 + -9y = 5 + 0 23 + -9y = 5 Add '-23' to each side of the equation. 23 + -23 + -9y = 5 + -23 Combine like terms: 23 + -23 = 0 0 + -9y = 5 + -23 -9y = 5 + -23 Combine like terms: 5 + -23 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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