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Simplifying 2(4y + 4) + 2y = 5(2y + -3) + 7 Reorder the terms: 2(4 + 4y) + 2y = 5(2y + -3) + 7 (4 * 2 + 4y * 2) + 2y = 5(2y + -3) + 7 (8 + 8y) + 2y = 5(2y + -3) + 7 Combine like terms: 8y + 2y = 10y 8 + 10y = 5(2y + -3) + 7 Reorder the terms: 8 + 10y = 5(-3 + 2y) + 7 8 + 10y = (-3 * 5 + 2y * 5) + 7 8 + 10y = (-15 + 10y) + 7 Reorder the terms: 8 + 10y = -15 + 7 + 10y Combine like terms: -15 + 7 = -8 8 + 10y = -8 + 10y Add '-10y' to each side of the equation. 8 + 10y + -10y = -8 + 10y + -10y Combine like terms: 10y + -10y = 0 8 + 0 = -8 + 10y + -10y 8 = -8 + 10y + -10y Combine like terms: 10y + -10y = 0 8 = -8 + 0 8 = -8 Solving 8 = -8 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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