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Simplifying 7y + 2(1 + -1y) = 8y + -4 7y + (1 * 2 + -1y * 2) = 8y + -4 7y + (2 + -2y) = 8y + -4 Reorder the terms: 2 + 7y + -2y = 8y + -4 Combine like terms: 7y + -2y = 5y 2 + 5y = 8y + -4 Reorder the terms: 2 + 5y = -4 + 8y Solving 2 + 5y = -4 + 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. 2 + 5y + -8y = -4 + 8y + -8y Combine like terms: 5y + -8y = -3y 2 + -3y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 2 + -3y = -4 + 0 2 + -3y = -4 Add '-2' to each side of the equation. 2 + -2 + -3y = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = -4 + -2 -3y = -4 + -2 Combine like terms: -4 + -2 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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