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Simplifying -10y + 18 = -3(5y + -7) + 21 + 5y Reorder the terms: 18 + -10y = -3(5y + -7) + 21 + 5y Reorder the terms: 18 + -10y = -3(-7 + 5y) + 21 + 5y 18 + -10y = (-7 * -3 + 5y * -3) + 21 + 5y 18 + -10y = (21 + -15y) + 21 + 5y Reorder the terms: 18 + -10y = 21 + 21 + -15y + 5y Combine like terms: 21 + 21 = 42 18 + -10y = 42 + -15y + 5y Combine like terms: -15y + 5y = -10y 18 + -10y = 42 + -10y Add '10y' to each side of the equation. 18 + -10y + 10y = 42 + -10y + 10y Combine like terms: -10y + 10y = 0 18 + 0 = 42 + -10y + 10y 18 = 42 + -10y + 10y Combine like terms: -10y + 10y = 0 18 = 42 + 0 18 = 42 Solving 18 = 42 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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