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Simplifying 2.85y + -7 = -8(0.5 + -1y) Reorder the terms: -7 + 2.85y = -8(0.5 + -1y) -7 + 2.85y = (0.5 * -8 + -1y * -8) -7 + 2.85y = (-4 + 8y) Solving -7 + 2.85y = -4 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -7 + 2.85y + -8y = -4 + 8y + -8y Combine like terms: 2.85y + -8y = -5.15y -7 + -5.15y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -5.15y = -4 + 0 -7 + -5.15y = -4 Add '7' to each side of the equation. -7 + 7 + -5.15y = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -5.15y = -4 + 7 -5.15y = -4 + 7 Combine like terms: -4 + 7 = 3 -5.15y = 3 Divide each side by '-5.15'. y = -0.5825242718 Simplifying y = -0.5825242718
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