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Simplifying 3(y + 2) + 2(y + -5) = -2 Reorder the terms: 3(2 + y) + 2(y + -5) = -2 (2 * 3 + y * 3) + 2(y + -5) = -2 (6 + 3y) + 2(y + -5) = -2 Reorder the terms: 6 + 3y + 2(-5 + y) = -2 6 + 3y + (-5 * 2 + y * 2) = -2 6 + 3y + (-10 + 2y) = -2 Reorder the terms: 6 + -10 + 3y + 2y = -2 Combine like terms: 6 + -10 = -4 -4 + 3y + 2y = -2 Combine like terms: 3y + 2y = 5y -4 + 5y = -2 Solving -4 + 5y = -2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5y = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = -2 + 4 5y = -2 + 4 Combine like terms: -2 + 4 = 2 5y = 2 Divide each side by '5'. y = 0.4 Simplifying y = 0.4
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