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Simplifying (y + -4) + -1(y + 3) = 8y Reorder the terms: (-4 + y) + -1(y + 3) = 8y Remove parenthesis around (-4 + y) -4 + y + -1(y + 3) = 8y Reorder the terms: -4 + y + -1(3 + y) = 8y -4 + y + (3 * -1 + y * -1) = 8y -4 + y + (-3 + -1y) = 8y Reorder the terms: -4 + -3 + y + -1y = 8y Combine like terms: -4 + -3 = -7 -7 + y + -1y = 8y Combine like terms: y + -1y = 0 -7 + 0 = 8y -7 = 8y Solving -7 = 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 + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -8y = 0 Add '7' to each side of the equation. -7 + 7 + -8y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8y = 0 + 7 -8y = 0 + 7 Combine like terms: 0 + 7 = 7 -8y = 7 Divide each side by '-8'. y = -0.875 Simplifying y = -0.875
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