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Simplifying (y + -4) + -1(y + -7) = 8y Reorder the terms: (-4 + y) + -1(y + -7) = 8y Remove parenthesis around (-4 + y) -4 + y + -1(y + -7) = 8y Reorder the terms: -4 + y + -1(-7 + y) = 8y -4 + y + (-7 * -1 + y * -1) = 8y -4 + y + (7 + -1y) = 8y Reorder the terms: -4 + 7 + y + -1y = 8y Combine like terms: -4 + 7 = 3 3 + y + -1y = 8y Combine like terms: y + -1y = 0 3 + 0 = 8y 3 = 8y Solving 3 = 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. 3 + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 3 + -8y = 0 Add '-3' to each side of the equation. 3 + -3 + -8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8y = 0 + -3 -8y = 0 + -3 Combine like terms: 0 + -3 = -3 -8y = -3 Divide each side by '-8'. y = 0.375 Simplifying y = 0.375
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