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Simplifying 4(2y + -9) + -3y = 5(y + -8) + -7 Reorder the terms: 4(-9 + 2y) + -3y = 5(y + -8) + -7 (-9 * 4 + 2y * 4) + -3y = 5(y + -8) + -7 (-36 + 8y) + -3y = 5(y + -8) + -7 Combine like terms: 8y + -3y = 5y -36 + 5y = 5(y + -8) + -7 Reorder the terms: -36 + 5y = 5(-8 + y) + -7 -36 + 5y = (-8 * 5 + y * 5) + -7 -36 + 5y = (-40 + 5y) + -7 Reorder the terms: -36 + 5y = -40 + -7 + 5y Combine like terms: -40 + -7 = -47 -36 + 5y = -47 + 5y Add '-5y' to each side of the equation. -36 + 5y + -5y = -47 + 5y + -5y Combine like terms: 5y + -5y = 0 -36 + 0 = -47 + 5y + -5y -36 = -47 + 5y + -5y Combine like terms: 5y + -5y = 0 -36 = -47 + 0 -36 = -47 Solving -36 = -47 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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