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Simplifying 5(y + 2) = 4(y + 1) Reorder the terms: 5(2 + y) = 4(y + 1) (2 * 5 + y * 5) = 4(y + 1) (10 + 5y) = 4(y + 1) Reorder the terms: 10 + 5y = 4(1 + y) 10 + 5y = (1 * 4 + y * 4) 10 + 5y = (4 + 4y) Solving 10 + 5y = 4 + 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. 10 + 5y + -4y = 4 + 4y + -4y Combine like terms: 5y + -4y = 1y 10 + 1y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + 1y = 4 + 0 10 + 1y = 4 Add '-10' to each side of the equation. 10 + -10 + 1y = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 4 + -10 1y = 4 + -10 Combine like terms: 4 + -10 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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