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Simplifying 0.7y + -4.6 = 0.4y + -2.2 Reorder the terms: -4.6 + 0.7y = 0.4y + -2.2 Reorder the terms: -4.6 + 0.7y = -2.2 + 0.4y Solving -4.6 + 0.7y = -2.2 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -4.6 + 0.7y + -0.4y = -2.2 + 0.4y + -0.4y Combine like terms: 0.7y + -0.4y = 0.3y -4.6 + 0.3y = -2.2 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -4.6 + 0.3y = -2.2 + 0.0 -4.6 + 0.3y = -2.2 Add '4.6' to each side of the equation. -4.6 + 4.6 + 0.3y = -2.2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 0.3y = -2.2 + 4.6 0.3y = -2.2 + 4.6 Combine like terms: -2.2 + 4.6 = 2.4 0.3y = 2.4 Divide each side by '0.3'. y = 8 Simplifying y = 8
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