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Simplifying 6(7 + -3y) + 6(y + 1) = -12y + -48 (7 * 6 + -3y * 6) + 6(y + 1) = -12y + -48 (42 + -18y) + 6(y + 1) = -12y + -48 Reorder the terms: 42 + -18y + 6(1 + y) = -12y + -48 42 + -18y + (1 * 6 + y * 6) = -12y + -48 42 + -18y + (6 + 6y) = -12y + -48 Reorder the terms: 42 + 6 + -18y + 6y = -12y + -48 Combine like terms: 42 + 6 = 48 48 + -18y + 6y = -12y + -48 Combine like terms: -18y + 6y = -12y 48 + -12y = -12y + -48 Reorder the terms: 48 + -12y = -48 + -12y Add '12y' to each side of the equation. 48 + -12y + 12y = -48 + -12y + 12y Combine like terms: -12y + 12y = 0 48 + 0 = -48 + -12y + 12y 48 = -48 + -12y + 12y Combine like terms: -12y + 12y = 0 48 = -48 + 0 48 = -48 Solving 48 = -48 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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