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Simplifying 7y + 1 + -2(-2y + -1) = 3(y + -1) Reorder the terms: 7y + 1 + -2(-1 + -2y) = 3(y + -1) 7y + 1 + (-1 * -2 + -2y * -2) = 3(y + -1) 7y + 1 + (2 + 4y) = 3(y + -1) Reorder the terms: 1 + 2 + 7y + 4y = 3(y + -1) Combine like terms: 1 + 2 = 3 3 + 7y + 4y = 3(y + -1) Combine like terms: 7y + 4y = 11y 3 + 11y = 3(y + -1) Reorder the terms: 3 + 11y = 3(-1 + y) 3 + 11y = (-1 * 3 + y * 3) 3 + 11y = (-3 + 3y) Solving 3 + 11y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 3 + 11y + -3y = -3 + 3y + -3y Combine like terms: 11y + -3y = 8y 3 + 8y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + 8y = -3 + 0 3 + 8y = -3 Add '-3' to each side of the equation. 3 + -3 + 8y = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = -3 + -3 8y = -3 + -3 Combine like terms: -3 + -3 = -6 8y = -6 Divide each side by '8'. y = -0.75 Simplifying y = -0.75
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