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Simplifying -6(y + 5) = -2y + -42 Reorder the terms: -6(5 + y) = -2y + -42 (5 * -6 + y * -6) = -2y + -42 (-30 + -6y) = -2y + -42 Reorder the terms: -30 + -6y = -42 + -2y Solving -30 + -6y = -42 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -30 + -6y + 2y = -42 + -2y + 2y Combine like terms: -6y + 2y = -4y -30 + -4y = -42 + -2y + 2y Combine like terms: -2y + 2y = 0 -30 + -4y = -42 + 0 -30 + -4y = -42 Add '30' to each side of the equation. -30 + 30 + -4y = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -4y = -42 + 30 -4y = -42 + 30 Combine like terms: -42 + 30 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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