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Simplifying 2(y + -5) + 3(y + 2) = 0 Reorder the terms: 2(-5 + y) + 3(y + 2) = 0 (-5 * 2 + y * 2) + 3(y + 2) = 0 (-10 + 2y) + 3(y + 2) = 0 Reorder the terms: -10 + 2y + 3(2 + y) = 0 -10 + 2y + (2 * 3 + y * 3) = 0 -10 + 2y + (6 + 3y) = 0 Reorder the terms: -10 + 6 + 2y + 3y = 0 Combine like terms: -10 + 6 = -4 -4 + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y -4 + 5y = 0 Solving -4 + 5y = 0 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 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 0 + 4 5y = 0 + 4 Combine like terms: 0 + 4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8
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