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Simplifying 15(y + -2) + 6y = 7(3y + 3) + -13 Reorder the terms: 15(-2 + y) + 6y = 7(3y + 3) + -13 (-2 * 15 + y * 15) + 6y = 7(3y + 3) + -13 (-30 + 15y) + 6y = 7(3y + 3) + -13 Combine like terms: 15y + 6y = 21y -30 + 21y = 7(3y + 3) + -13 Reorder the terms: -30 + 21y = 7(3 + 3y) + -13 -30 + 21y = (3 * 7 + 3y * 7) + -13 -30 + 21y = (21 + 21y) + -13 Reorder the terms: -30 + 21y = 21 + -13 + 21y Combine like terms: 21 + -13 = 8 -30 + 21y = 8 + 21y Add '-21y' to each side of the equation. -30 + 21y + -21y = 8 + 21y + -21y Combine like terms: 21y + -21y = 0 -30 + 0 = 8 + 21y + -21y -30 = 8 + 21y + -21y Combine like terms: 21y + -21y = 0 -30 = 8 + 0 -30 = 8 Solving -30 = 8 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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