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Simplifying 3x(2y + 5) + -2y(3x + -5) + -5(3x + 2) = 0 Reorder the terms: 3x(5 + 2y) + -2y(3x + -5) + -5(3x + 2) = 0 (5 * 3x + 2y * 3x) + -2y(3x + -5) + -5(3x + 2) = 0 (15x + 6xy) + -2y(3x + -5) + -5(3x + 2) = 0 Reorder the terms: 15x + 6xy + -2y(-5 + 3x) + -5(3x + 2) = 0 15x + 6xy + (-5 * -2y + 3x * -2y) + -5(3x + 2) = 0 Reorder the terms: 15x + 6xy + (-6xy + 10y) + -5(3x + 2) = 0 15x + 6xy + (-6xy + 10y) + -5(3x + 2) = 0 Reorder the terms: 15x + 6xy + -6xy + 10y + -5(2 + 3x) = 0 15x + 6xy + -6xy + 10y + (2 * -5 + 3x * -5) = 0 15x + 6xy + -6xy + 10y + (-10 + -15x) = 0 Reorder the terms: -10 + 15x + -15x + 6xy + -6xy + 10y = 0 Combine like terms: 15x + -15x = 0 -10 + 0 + 6xy + -6xy + 10y = 0 -10 + 6xy + -6xy + 10y = 0 Combine like terms: 6xy + -6xy = 0 -10 + 0 + 10y = 0 -10 + 10y = 0 Solving -10 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10y = 0 + 10 10y = 0 + 10 Combine like terms: 0 + 10 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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