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Simplifying -6(y + 3) = 4(y + 2) + -5(2y + 3) Reorder the terms: -6(3 + y) = 4(y + 2) + -5(2y + 3) (3 * -6 + y * -6) = 4(y + 2) + -5(2y + 3) (-18 + -6y) = 4(y + 2) + -5(2y + 3) Reorder the terms: -18 + -6y = 4(2 + y) + -5(2y + 3) -18 + -6y = (2 * 4 + y * 4) + -5(2y + 3) -18 + -6y = (8 + 4y) + -5(2y + 3) Reorder the terms: -18 + -6y = 8 + 4y + -5(3 + 2y) -18 + -6y = 8 + 4y + (3 * -5 + 2y * -5) -18 + -6y = 8 + 4y + (-15 + -10y) Reorder the terms: -18 + -6y = 8 + -15 + 4y + -10y Combine like terms: 8 + -15 = -7 -18 + -6y = -7 + 4y + -10y Combine like terms: 4y + -10y = -6y -18 + -6y = -7 + -6y Add '6y' to each side of the equation. -18 + -6y + 6y = -7 + -6y + 6y Combine like terms: -6y + 6y = 0 -18 + 0 = -7 + -6y + 6y -18 = -7 + -6y + 6y Combine like terms: -6y + 6y = 0 -18 = -7 + 0 -18 = -7 Solving -18 = -7 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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