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Simplifying (y + -7) + -1(y + 4) = 8y Reorder the terms: (-7 + y) + -1(y + 4) = 8y Remove parenthesis around (-7 + y) -7 + y + -1(y + 4) = 8y Reorder the terms: -7 + y + -1(4 + y) = 8y -7 + y + (4 * -1 + y * -1) = 8y -7 + y + (-4 + -1y) = 8y Reorder the terms: -7 + -4 + y + -1y = 8y Combine like terms: -7 + -4 = -11 -11 + y + -1y = 8y Combine like terms: y + -1y = 0 -11 + 0 = 8y -11 = 8y Solving -11 = 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. -11 + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -11 + -8y = 0 Add '11' to each side of the equation. -11 + 11 + -8y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -8y = 0 + 11 -8y = 0 + 11 Combine like terms: 0 + 11 = 11 -8y = 11 Divide each side by '-8'. y = -1.375 Simplifying y = -1.375
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