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Simplifying 6(y + 6) = 8y + 44 Reorder the terms: 6(6 + y) = 8y + 44 (6 * 6 + y * 6) = 8y + 44 (36 + 6y) = 8y + 44 Reorder the terms: 36 + 6y = 44 + 8y Solving 36 + 6y = 44 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 36 + 6y + -8y = 44 + 8y + -8y Combine like terms: 6y + -8y = -2y 36 + -2y = 44 + 8y + -8y Combine like terms: 8y + -8y = 0 36 + -2y = 44 + 0 36 + -2y = 44 Add '-36' to each side of the equation. 36 + -36 + -2y = 44 + -36 Combine like terms: 36 + -36 = 0 0 + -2y = 44 + -36 -2y = 44 + -36 Combine like terms: 44 + -36 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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