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Simplifying 7y + 1 = 8y + -7 + 2y Reorder the terms: 1 + 7y = 8y + -7 + 2y Reorder the terms: 1 + 7y = -7 + 8y + 2y Combine like terms: 8y + 2y = 10y 1 + 7y = -7 + 10y Solving 1 + 7y = -7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 1 + 7y + -10y = -7 + 10y + -10y Combine like terms: 7y + -10y = -3y 1 + -3y = -7 + 10y + -10y Combine like terms: 10y + -10y = 0 1 + -3y = -7 + 0 1 + -3y = -7 Add '-1' to each side of the equation. 1 + -1 + -3y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = -7 + -1 -3y = -7 + -1 Combine like terms: -7 + -1 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667
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