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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 = -14 -14 + 5y + -4y = 3 Combine like terms: 5y + -4y = 1y -14 + 1y = 3 Solving -14 + 1y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1y = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 1y = 3 + 14 1y = 3 + 14 Combine like terms: 3 + 14 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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