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