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Simplifying (-3y + 2) + -1(2y + -8) = 2 Reorder the terms: (2 + -3y) + -1(2y + -8) = 2 Remove parenthesis around (2 + -3y) 2 + -3y + -1(2y + -8) = 2 Reorder the terms: 2 + -3y + -1(-8 + 2y) = 2 2 + -3y + (-8 * -1 + 2y * -1) = 2 2 + -3y + (8 + -2y) = 2 Reorder the terms: 2 + 8 + -3y + -2y = 2 Combine like terms: 2 + 8 = 10 10 + -3y + -2y = 2 Combine like terms: -3y + -2y = -5y 10 + -5y = 2 Solving 10 + -5y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -5y = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -5y = 2 + -10 -5y = 2 + -10 Combine like terms: 2 + -10 = -8 -5y = -8 Divide each side by '-5'. y = 1.6 Simplifying y = 1.6
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