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Simplifying 7(y + -5) + 3y = 10(y + 1) Reorder the terms: 7(-5 + y) + 3y = 10(y + 1) (-5 * 7 + y * 7) + 3y = 10(y + 1) (-35 + 7y) + 3y = 10(y + 1) Combine like terms: 7y + 3y = 10y -35 + 10y = 10(y + 1) Reorder the terms: -35 + 10y = 10(1 + y) -35 + 10y = (1 * 10 + y * 10) -35 + 10y = (10 + 10y) Add '-10y' to each side of the equation. -35 + 10y + -10y = 10 + 10y + -10y Combine like terms: 10y + -10y = 0 -35 + 0 = 10 + 10y + -10y -35 = 10 + 10y + -10y Combine like terms: 10y + -10y = 0 -35 = 10 + 0 -35 = 10 Solving -35 = 10 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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