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