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Simplifying -8.2 + -12.7y = -5.9y + 2(-3y + -4) Reorder the terms: -8.2 + -12.7y = -5.9y + 2(-4 + -3y) -8.2 + -12.7y = -5.9y + (-4 * 2 + -3y * 2) -8.2 + -12.7y = -5.9y + (-8 + -6y) Reorder the terms: -8.2 + -12.7y = -8 + -5.9y + -6y Combine like terms: -5.9y + -6y = -11.9y -8.2 + -12.7y = -8 + -11.9y Solving -8.2 + -12.7y = -8 + -11.9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11.9y' to each side of the equation. -8.2 + -12.7y + 11.9y = -8 + -11.9y + 11.9y Combine like terms: -12.7y + 11.9y = -0.8y -8.2 + -0.8y = -8 + -11.9y + 11.9y Combine like terms: -11.9y + 11.9y = 0.0 -8.2 + -0.8y = -8 + 0.0 -8.2 + -0.8y = -8 Add '8.2' to each side of the equation. -8.2 + 8.2 + -0.8y = -8 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + -0.8y = -8 + 8.2 -0.8y = -8 + 8.2 Combine like terms: -8 + 8.2 = 0.2 -0.8y = 0.2 Divide each side by '-0.8'. y = -0.25 Simplifying y = -0.25
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