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Simplifying 3(2x + -3y + 6) + 2(-3x + -7y) = 0 Reorder the terms: 3(6 + 2x + -3y) + 2(-3x + -7y) = 0 (6 * 3 + 2x * 3 + -3y * 3) + 2(-3x + -7y) = 0 (18 + 6x + -9y) + 2(-3x + -7y) = 0 18 + 6x + -9y + (-3x * 2 + -7y * 2) = 0 18 + 6x + -9y + (-6x + -14y) = 0 Reorder the terms: 18 + 6x + -6x + -9y + -14y = 0 Combine like terms: 6x + -6x = 0 18 + 0 + -9y + -14y = 0 18 + -9y + -14y = 0 Combine like terms: -9y + -14y = -23y 18 + -23y = 0 Solving 18 + -23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -23y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -23y = 0 + -18 -23y = 0 + -18 Combine like terms: 0 + -18 = -18 -23y = -18 Divide each side by '-23'. y = 0.7826086957 Simplifying y = 0.7826086957
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