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Simplifying 4 + 5y + -2(5 + 2y) = 6 4 + 5y + (5 * -2 + 2y * -2) = 6 4 + 5y + (-10 + -4y) = 6 Reorder the terms: 4 + -10 + 5y + -4y = 6 Combine like terms: 4 + -10 = -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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