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Simplifying -2y + -0.1 + -0.9y + -4.6y + -5 = 0 Reorder the terms: -0.1 + -5 + -2y + -0.9y + -4.6y = 0 Combine like terms: -0.1 + -5 = -5.1 -5.1 + -2y + -0.9y + -4.6y = 0 Combine like terms: -2y + -0.9y = -2.9y -5.1 + -2.9y + -4.6y = 0 Combine like terms: -2.9y + -4.6y = -7.5y -5.1 + -7.5y = 0 Solving -5.1 + -7.5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5.1' to each side of the equation. -5.1 + 5.1 + -7.5y = 0 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -7.5y = 0 + 5.1 -7.5y = 0 + 5.1 Combine like terms: 0 + 5.1 = 5.1 -7.5y = 5.1 Divide each side by '-7.5'. y = -0.68 Simplifying y = -0.68
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