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Simplifying 5y + 6 + -1(-3 + 4y) = 10 5y + 6 + (-3 * -1 + 4y * -1) = 10 5y + 6 + (3 + -4y) = 10 Reorder the terms: 6 + 3 + 5y + -4y = 10 Combine like terms: 6 + 3 = 9 9 + 5y + -4y = 10 Combine like terms: 5y + -4y = 1y 9 + 1y = 10 Solving 9 + 1y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1y = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 10 + -9 1y = 10 + -9 Combine like terms: 10 + -9 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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