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Simplifying -6(y + -5) = -5y + -2 Reorder the terms: -6(-5 + y) = -5y + -2 (-5 * -6 + y * -6) = -5y + -2 (30 + -6y) = -5y + -2 Reorder the terms: 30 + -6y = -2 + -5y Solving 30 + -6y = -2 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 30 + -6y + 5y = -2 + -5y + 5y Combine like terms: -6y + 5y = -1y 30 + -1y = -2 + -5y + 5y Combine like terms: -5y + 5y = 0 30 + -1y = -2 + 0 30 + -1y = -2 Add '-30' to each side of the equation. 30 + -30 + -1y = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = -2 + -30 -1y = -2 + -30 Combine like terms: -2 + -30 = -32 -1y = -32 Divide each side by '-1'. y = 32 Simplifying y = 32
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