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Simplifying 6y + -36 = 6(7y + 6) Reorder the terms: -36 + 6y = 6(7y + 6) Reorder the terms: -36 + 6y = 6(6 + 7y) -36 + 6y = (6 * 6 + 7y * 6) -36 + 6y = (36 + 42y) Solving -36 + 6y = 36 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. -36 + 6y + -42y = 36 + 42y + -42y Combine like terms: 6y + -42y = -36y -36 + -36y = 36 + 42y + -42y Combine like terms: 42y + -42y = 0 -36 + -36y = 36 + 0 -36 + -36y = 36 Add '36' to each side of the equation. -36 + 36 + -36y = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -36y = 36 + 36 -36y = 36 + 36 Combine like terms: 36 + 36 = 72 -36y = 72 Divide each side by '-36'. y = -2 Simplifying y = -2
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