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Simplifying 5(y + -6) = 9y + -42 Reorder the terms: 5(-6 + y) = 9y + -42 (-6 * 5 + y * 5) = 9y + -42 (-30 + 5y) = 9y + -42 Reorder the terms: -30 + 5y = -42 + 9y Solving -30 + 5y = -42 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -30 + 5y + -9y = -42 + 9y + -9y Combine like terms: 5y + -9y = -4y -30 + -4y = -42 + 9y + -9y Combine like terms: 9y + -9y = 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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