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Simplifying (-3y + 4) + -1(-2y + -5) = 6 Reorder the terms: (4 + -3y) + -1(-2y + -5) = 6 Remove parenthesis around (4 + -3y) 4 + -3y + -1(-2y + -5) = 6 Reorder the terms: 4 + -3y + -1(-5 + -2y) = 6 4 + -3y + (-5 * -1 + -2y * -1) = 6 4 + -3y + (5 + 2y) = 6 Reorder the terms: 4 + 5 + -3y + 2y = 6 Combine like terms: 4 + 5 = 9 9 + -3y + 2y = 6 Combine like terms: -3y + 2y = -1y 9 + -1y = 6 Solving 9 + -1y = 6 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 = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 6 + -9 -1y = 6 + -9 Combine like terms: 6 + -9 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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