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Simplifying 3(2y + -1) + -2(y + -2) = 4(y + 3) Reorder the terms: 3(-1 + 2y) + -2(y + -2) = 4(y + 3) (-1 * 3 + 2y * 3) + -2(y + -2) = 4(y + 3) (-3 + 6y) + -2(y + -2) = 4(y + 3) Reorder the terms: -3 + 6y + -2(-2 + y) = 4(y + 3) -3 + 6y + (-2 * -2 + y * -2) = 4(y + 3) -3 + 6y + (4 + -2y) = 4(y + 3) Reorder the terms: -3 + 4 + 6y + -2y = 4(y + 3) Combine like terms: -3 + 4 = 1 1 + 6y + -2y = 4(y + 3) Combine like terms: 6y + -2y = 4y 1 + 4y = 4(y + 3) Reorder the terms: 1 + 4y = 4(3 + y) 1 + 4y = (3 * 4 + y * 4) 1 + 4y = (12 + 4y) Add '-4y' to each side of the equation. 1 + 4y + -4y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + 0 = 12 + 4y + -4y 1 = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 1 = 12 + 0 1 = 12 Solving 1 = 12 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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