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Simplifying 5(y + -6) = 6 + 6y Reorder the terms: 5(-6 + y) = 6 + 6y (-6 * 5 + y * 5) = 6 + 6y (-30 + 5y) = 6 + 6y Solving -30 + 5y = 6 + 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 + 5y + -6y = 6 + 6y + -6y Combine like terms: 5y + -6y = -1y -30 + -1y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + -1y = 6 + 0 -30 + -1y = 6 Add '30' to each side of the equation. -30 + 30 + -1y = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -1y = 6 + 30 -1y = 6 + 30 Combine like terms: 6 + 30 = 36 -1y = 36 Divide each side by '-1'. y = -36 Simplifying y = -36
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