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Simplifying -7y + 12 = 6(3y + -7) + -46 Reorder the terms: 12 + -7y = 6(3y + -7) + -46 Reorder the terms: 12 + -7y = 6(-7 + 3y) + -46 12 + -7y = (-7 * 6 + 3y * 6) + -46 12 + -7y = (-42 + 18y) + -46 Reorder the terms: 12 + -7y = -42 + -46 + 18y Combine like terms: -42 + -46 = -88 12 + -7y = -88 + 18y Solving 12 + -7y = -88 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 12 + -7y + -18y = -88 + 18y + -18y Combine like terms: -7y + -18y = -25y 12 + -25y = -88 + 18y + -18y Combine like terms: 18y + -18y = 0 12 + -25y = -88 + 0 12 + -25y = -88 Add '-12' to each side of the equation. 12 + -12 + -25y = -88 + -12 Combine like terms: 12 + -12 = 0 0 + -25y = -88 + -12 -25y = -88 + -12 Combine like terms: -88 + -12 = -100 -25y = -100 Divide each side by '-25'. y = 4 Simplifying y = 4
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