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Simplifying 6(9y + -8) = 46 + 7y Reorder the terms: 6(-8 + 9y) = 46 + 7y (-8 * 6 + 9y * 6) = 46 + 7y (-48 + 54y) = 46 + 7y Solving -48 + 54y = 46 + 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. -48 + 54y + -7y = 46 + 7y + -7y Combine like terms: 54y + -7y = 47y -48 + 47y = 46 + 7y + -7y Combine like terms: 7y + -7y = 0 -48 + 47y = 46 + 0 -48 + 47y = 46 Add '48' to each side of the equation. -48 + 48 + 47y = 46 + 48 Combine like terms: -48 + 48 = 0 0 + 47y = 46 + 48 47y = 46 + 48 Combine like terms: 46 + 48 = 94 47y = 94 Divide each side by '47'. y = 2 Simplifying y = 2
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