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Simplifying 5(y + 4) + -2(1 + -3y) = 11y + -7 Reorder the terms: 5(4 + y) + -2(1 + -3y) = 11y + -7 (4 * 5 + y * 5) + -2(1 + -3y) = 11y + -7 (20 + 5y) + -2(1 + -3y) = 11y + -7 20 + 5y + (1 * -2 + -3y * -2) = 11y + -7 20 + 5y + (-2 + 6y) = 11y + -7 Reorder the terms: 20 + -2 + 5y + 6y = 11y + -7 Combine like terms: 20 + -2 = 18 18 + 5y + 6y = 11y + -7 Combine like terms: 5y + 6y = 11y 18 + 11y = 11y + -7 Reorder the terms: 18 + 11y = -7 + 11y Add '-11y' to each side of the equation. 18 + 11y + -11y = -7 + 11y + -11y Combine like terms: 11y + -11y = 0 18 + 0 = -7 + 11y + -11y 18 = -7 + 11y + -11y Combine like terms: 11y + -11y = 0 18 = -7 + 0 18 = -7 Solving 18 = -7 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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