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Simplifying 6(y + -5) = -6y + 42 Reorder the terms: 6(-5 + y) = -6y + 42 (-5 * 6 + y * 6) = -6y + 42 (-30 + 6y) = -6y + 42 Reorder the terms: -30 + 6y = 42 + -6y Solving -30 + 6y = 42 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -30 + 6y + 6y = 42 + -6y + 6y Combine like terms: 6y + 6y = 12y -30 + 12y = 42 + -6y + 6y Combine like terms: -6y + 6y = 0 -30 + 12y = 42 + 0 -30 + 12y = 42 Add '30' to each side of the equation. -30 + 30 + 12y = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 12y = 42 + 30 12y = 42 + 30 Combine like terms: 42 + 30 = 72 12y = 72 Divide each side by '12'. y = 6 Simplifying y = 6
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