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Simplifying 7(y + -7) = 8y + -49 Reorder the terms: 7(-7 + y) = 8y + -49 (-7 * 7 + y * 7) = 8y + -49 (-49 + 7y) = 8y + -49 Reorder the terms: -49 + 7y = -49 + 8y Add '49' to each side of the equation. -49 + 49 + 7y = -49 + 49 + 8y Combine like terms: -49 + 49 = 0 0 + 7y = -49 + 49 + 8y 7y = -49 + 49 + 8y Combine like terms: -49 + 49 = 0 7y = 0 + 8y 7y = 8y Solving 7y = 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. 7y + -8y = 8y + -8y Combine like terms: 7y + -8y = -1y -1y = 8y + -8y Combine like terms: 8y + -8y = 0 -1y = 0 Divide each side by '-1'. y = 0 Simplifying y = 0
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