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Simplifying 9y + -5(1 + y) = 2(2y + -2) + -15 9y + (1 * -5 + y * -5) = 2(2y + -2) + -15 9y + (-5 + -5y) = 2(2y + -2) + -15 Reorder the terms: -5 + 9y + -5y = 2(2y + -2) + -15 Combine like terms: 9y + -5y = 4y -5 + 4y = 2(2y + -2) + -15 Reorder the terms: -5 + 4y = 2(-2 + 2y) + -15 -5 + 4y = (-2 * 2 + 2y * 2) + -15 -5 + 4y = (-4 + 4y) + -15 Reorder the terms: -5 + 4y = -4 + -15 + 4y Combine like terms: -4 + -15 = -19 -5 + 4y = -19 + 4y Add '-4y' to each side of the equation. -5 + 4y + -4y = -19 + 4y + -4y Combine like terms: 4y + -4y = 0 -5 + 0 = -19 + 4y + -4y -5 = -19 + 4y + -4y Combine like terms: 4y + -4y = 0 -5 = -19 + 0 -5 = -19 Solving -5 = -19 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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