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Simplifying -7y + 46 = 6(y + 1) Reorder the terms: 46 + -7y = 6(y + 1) Reorder the terms: 46 + -7y = 6(1 + y) 46 + -7y = (1 * 6 + y * 6) 46 + -7y = (6 + 6y) Solving 46 + -7y = 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. 46 + -7y + -6y = 6 + 6y + -6y Combine like terms: -7y + -6y = -13y 46 + -13y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 46 + -13y = 6 + 0 46 + -13y = 6 Add '-46' to each side of the equation. 46 + -46 + -13y = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -13y = 6 + -46 -13y = 6 + -46 Combine like terms: 6 + -46 = -40 -13y = -40 Divide each side by '-13'. y = 3.076923077 Simplifying y = 3.076923077
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