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Simplifying y(3x + 5) + (5y + -35) = 180 Reorder the terms: y(5 + 3x) + (5y + -35) = 180 (5 * y + 3x * y) + (5y + -35) = 180 Reorder the terms: (3xy + 5y) + (5y + -35) = 180 (3xy + 5y) + (5y + -35) = 180 Reorder the terms: 3xy + 5y + (-35 + 5y) = 180 Remove parenthesis around (-35 + 5y) 3xy + 5y + -35 + 5y = 180 Reorder the terms: -35 + 3xy + 5y + 5y = 180 Combine like terms: 5y + 5y = 10y -35 + 3xy + 10y = 180 Solving -35 + 3xy + 10y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 3xy + 35 + 10y = 180 + 35 Reorder the terms: -35 + 35 + 3xy + 10y = 180 + 35 Combine like terms: -35 + 35 = 0 0 + 3xy + 10y = 180 + 35 3xy + 10y = 180 + 35 Combine like terms: 180 + 35 = 215 3xy + 10y = 215 Add '-10y' to each side of the equation. 3xy + 10y + -10y = 215 + -10y Combine like terms: 10y + -10y = 0 3xy + 0 = 215 + -10y 3xy = 215 + -10y Divide each side by '3y'. x = 71.66666667y-1 + -3.333333333 Simplifying x = 71.66666667y-1 + -3.333333333 Reorder the terms: x = -3.333333333 + 71.66666667y-1
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