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Simplifying -4.6 + -3y + -7.1 + -1y = -3y + 10.1 Reorder the terms: -4.6 + -7.1 + -3y + -1y = -3y + 10.1 Combine like terms: -4.6 + -7.1 = -11.7 -11.7 + -3y + -1y = -3y + 10.1 Combine like terms: -3y + -1y = -4y -11.7 + -4y = -3y + 10.1 Reorder the terms: -11.7 + -4y = 10.1 + -3y Solving -11.7 + -4y = 10.1 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -11.7 + -4y + 3y = 10.1 + -3y + 3y Combine like terms: -4y + 3y = -1y -11.7 + -1y = 10.1 + -3y + 3y Combine like terms: -3y + 3y = 0 -11.7 + -1y = 10.1 + 0 -11.7 + -1y = 10.1 Add '11.7' to each side of the equation. -11.7 + 11.7 + -1y = 10.1 + 11.7 Combine like terms: -11.7 + 11.7 = 0.0 0.0 + -1y = 10.1 + 11.7 -1y = 10.1 + 11.7 Combine like terms: 10.1 + 11.7 = 21.8 -1y = 21.8 Divide each side by '-1'. y = -21.8 Simplifying y = -21.8
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