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Simplifying 5(y + -2) + -4(y + -1) = 6 Reorder the terms: 5(-2 + y) + -4(y + -1) = 6 (-2 * 5 + y * 5) + -4(y + -1) = 6 (-10 + 5y) + -4(y + -1) = 6 Reorder the terms: -10 + 5y + -4(-1 + y) = 6 -10 + 5y + (-1 * -4 + y * -4) = 6 -10 + 5y + (4 + -4y) = 6 Reorder the terms: -10 + 4 + 5y + -4y = 6 Combine like terms: -10 + 4 = -6 -6 + 5y + -4y = 6 Combine like terms: 5y + -4y = 1y -6 + 1y = 6 Solving -6 + 1y = 6 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 = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 6 + 6 1y = 6 + 6 Combine like terms: 6 + 6 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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