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Simplifying 3(4 + -2(y + 2)) = 2y + -4(1 + 2(1 + y)) Reorder the terms: 3(4 + -2(2 + y)) = 2y + -4(1 + 2(1 + y)) 3(4 + (2 * -2 + y * -2)) = 2y + -4(1 + 2(1 + y)) 3(4 + (-4 + -2y)) = 2y + -4(1 + 2(1 + y)) Combine like terms: 4 + -4 = 0 3(0 + -2y) = 2y + -4(1 + 2(1 + y)) 3(-2y) = 2y + -4(1 + 2(1 + y)) Remove parenthesis around (-2y) 3 * -2y = 2y + -4(1 + 2(1 + y)) Multiply 3 * -2 -6y = 2y + -4(1 + 2(1 + y)) -6y = 2y + -4(1 + (1 * 2 + y * 2)) -6y = 2y + -4(1 + (2 + 2y)) Combine like terms: 1 + 2 = 3 -6y = 2y + -4(3 + 2y) -6y = 2y + (3 * -4 + 2y * -4) -6y = 2y + (-12 + -8y) Reorder the terms: -6y = -12 + 2y + -8y Combine like terms: 2y + -8y = -6y -6y = -12 + -6y Add '6y' to each side of the equation. -6y + 6y = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 0 = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 0 = -12 + 0 0 = -12 Solving 0 = -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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