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Simplifying 5(y + 2) + -4(y + 1) = 3 Reorder the terms: 5(2 + y) + -4(y + 1) = 3 (2 * 5 + y * 5) + -4(y + 1) = 3 (10 + 5y) + -4(y + 1) = 3 Reorder the terms: 10 + 5y + -4(1 + y) = 3 10 + 5y + (1 * -4 + y * -4) = 3 10 + 5y + (-4 + -4y) = 3 Reorder the terms: 10 + -4 + 5y + -4y = 3 Combine like terms: 10 + -4 = 6 6 + 5y + -4y = 3 Combine like terms: 5y + -4y = 1y 6 + 1y = 3 Solving 6 + 1y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1y = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 3 + -6 1y = 3 + -6 Combine like terms: 3 + -6 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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