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