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Simplifying 3(y + 7) + -4y = 2y + -3(y + -7) + 8y Reorder the terms: 3(7 + y) + -4y = 2y + -3(y + -7) + 8y (7 * 3 + y * 3) + -4y = 2y + -3(y + -7) + 8y (21 + 3y) + -4y = 2y + -3(y + -7) + 8y Combine like terms: 3y + -4y = -1y 21 + -1y = 2y + -3(y + -7) + 8y Reorder the terms: 21 + -1y = 2y + -3(-7 + y) + 8y 21 + -1y = 2y + (-7 * -3 + y * -3) + 8y 21 + -1y = 2y + (21 + -3y) + 8y Reorder the terms: 21 + -1y = 21 + 2y + -3y + 8y Combine like terms: 2y + -3y = -1y 21 + -1y = 21 + -1y + 8y Combine like terms: -1y + 8y = 7y 21 + -1y = 21 + 7y Add '-21' to each side of the equation. 21 + -21 + -1y = 21 + -21 + 7y Combine like terms: 21 + -21 = 0 0 + -1y = 21 + -21 + 7y -1y = 21 + -21 + 7y Combine like terms: 21 + -21 = 0 -1y = 0 + 7y -1y = 7y Solving -1y = 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. -1y + -7y = 7y + -7y Combine like terms: -1y + -7y = -8y -8y = 7y + -7y Combine like terms: 7y + -7y = 0 -8y = 0 Divide each side by '-8'. y = 0 Simplifying y = 0
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