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Simplifying 8.3 + 3.4y + -0.5(12y + -7) = 0 Reorder the terms: 8.3 + 3.4y + -0.5(-7 + 12y) = 0 8.3 + 3.4y + (-7 * -0.5 + 12y * -0.5) = 0 8.3 + 3.4y + (3.5 + -6y) = 0 Reorder the terms: 8.3 + 3.5 + 3.4y + -6y = 0 Combine like terms: 8.3 + 3.5 = 11.8 11.8 + 3.4y + -6y = 0 Combine like terms: 3.4y + -6y = -2.6y 11.8 + -2.6y = 0 Solving 11.8 + -2.6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11.8' to each side of the equation. 11.8 + -11.8 + -2.6y = 0 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + -2.6y = 0 + -11.8 -2.6y = 0 + -11.8 Combine like terms: 0 + -11.8 = -11.8 -2.6y = -11.8 Divide each side by '-2.6'. y = 4.538461538 Simplifying y = 4.538461538
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