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Simplifying 0.3(5y + -7) + -0.2(3y + 4) = 0.9y + (-1.3) Reorder the terms: 0.3(-7 + 5y) + -0.2(3y + 4) = 0.9y + (-1.3) (-7 * 0.3 + 5y * 0.3) + -0.2(3y + 4) = 0.9y + (-1.3) (-2.1 + 1.5y) + -0.2(3y + 4) = 0.9y + (-1.3) Reorder the terms: -2.1 + 1.5y + -0.2(4 + 3y) = 0.9y + (-1.3) -2.1 + 1.5y + (4 * -0.2 + 3y * -0.2) = 0.9y + (-1.3) -2.1 + 1.5y + (-0.8 + -0.6y) = 0.9y + (-1.3) Reorder the terms: -2.1 + -0.8 + 1.5y + -0.6y = 0.9y + (-1.3) Combine like terms: -2.1 + -0.8 = -2.9 -2.9 + 1.5y + -0.6y = 0.9y + (-1.3) Combine like terms: 1.5y + -0.6y = 0.9y -2.9 + 0.9y = 0.9y + (-1.3) -2.9 + 0.9y = 0.9y + -1.3 Reorder the terms: -2.9 + 0.9y = -1.3 + 0.9y Add '-0.9y' to each side of the equation. -2.9 + 0.9y + -0.9y = -1.3 + 0.9y + -0.9y Combine like terms: 0.9y + -0.9y = 0.0 -2.9 + 0.0 = -1.3 + 0.9y + -0.9y -2.9 = -1.3 + 0.9y + -0.9y Combine like terms: 0.9y + -0.9y = 0.0 -2.9 = -1.3 + 0.0 -2.9 = -1.3 Solving -2.9 = -1.3 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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