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Simplifying 9y + -46 = 7(y + -6) Reorder the terms: -46 + 9y = 7(y + -6) Reorder the terms: -46 + 9y = 7(-6 + y) -46 + 9y = (-6 * 7 + y * 7) -46 + 9y = (-42 + 7y) Solving -46 + 9y = -42 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -46 + 9y + -7y = -42 + 7y + -7y Combine like terms: 9y + -7y = 2y -46 + 2y = -42 + 7y + -7y Combine like terms: 7y + -7y = 0 -46 + 2y = -42 + 0 -46 + 2y = -42 Add '46' to each side of the equation. -46 + 46 + 2y = -42 + 46 Combine like terms: -46 + 46 = 0 0 + 2y = -42 + 46 2y = -42 + 46 Combine like terms: -42 + 46 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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