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Simplifying 52 + -4(6y + 5) + 2y = 16 + -11(2y + 1) Reorder the terms: 52 + -4(5 + 6y) + 2y = 16 + -11(2y + 1) 52 + (5 * -4 + 6y * -4) + 2y = 16 + -11(2y + 1) 52 + (-20 + -24y) + 2y = 16 + -11(2y + 1) Combine like terms: 52 + -20 = 32 32 + -24y + 2y = 16 + -11(2y + 1) Combine like terms: -24y + 2y = -22y 32 + -22y = 16 + -11(2y + 1) Reorder the terms: 32 + -22y = 16 + -11(1 + 2y) 32 + -22y = 16 + (1 * -11 + 2y * -11) 32 + -22y = 16 + (-11 + -22y) Combine like terms: 16 + -11 = 5 32 + -22y = 5 + -22y Add '22y' to each side of the equation. 32 + -22y + 22y = 5 + -22y + 22y Combine like terms: -22y + 22y = 0 32 + 0 = 5 + -22y + 22y 32 = 5 + -22y + 22y Combine like terms: -22y + 22y = 0 32 = 5 + 0 32 = 5 Solving 32 = 5 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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