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Simplifying 0.1y + -4.7 + -3.4y + -4.9 = 3.9y + -7.5 + -4.5y + 0.6 Reorder the terms: -4.7 + -4.9 + 0.1y + -3.4y = 3.9y + -7.5 + -4.5y + 0.6 Combine like terms: -4.7 + -4.9 = -9.6 -9.6 + 0.1y + -3.4y = 3.9y + -7.5 + -4.5y + 0.6 Combine like terms: 0.1y + -3.4y = -3.3y -9.6 + -3.3y = 3.9y + -7.5 + -4.5y + 0.6 Reorder the terms: -9.6 + -3.3y = -7.5 + 0.6 + 3.9y + -4.5y Combine like terms: -7.5 + 0.6 = -6.9 -9.6 + -3.3y = -6.9 + 3.9y + -4.5y Combine like terms: 3.9y + -4.5y = -0.6y -9.6 + -3.3y = -6.9 + -0.6y Solving -9.6 + -3.3y = -6.9 + -0.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.6y' to each side of the equation. -9.6 + -3.3y + 0.6y = -6.9 + -0.6y + 0.6y Combine like terms: -3.3y + 0.6y = -2.7y -9.6 + -2.7y = -6.9 + -0.6y + 0.6y Combine like terms: -0.6y + 0.6y = 0.0 -9.6 + -2.7y = -6.9 + 0.0 -9.6 + -2.7y = -6.9 Add '9.6' to each side of the equation. -9.6 + 9.6 + -2.7y = -6.9 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + -2.7y = -6.9 + 9.6 -2.7y = -6.9 + 9.6 Combine like terms: -6.9 + 9.6 = 2.7 -2.7y = 2.7 Divide each side by '-2.7'. y = -1 Simplifying y = -1
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