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Simplifying (y + -4) + -1(y + 8) = 7y Reorder the terms: (-4 + y) + -1(y + 8) = 7y Remove parenthesis around (-4 + y) -4 + y + -1(y + 8) = 7y Reorder the terms: -4 + y + -1(8 + y) = 7y -4 + y + (8 * -1 + y * -1) = 7y -4 + y + (-8 + -1y) = 7y Reorder the terms: -4 + -8 + y + -1y = 7y Combine like terms: -4 + -8 = -12 -12 + y + -1y = 7y Combine like terms: y + -1y = 0 -12 + 0 = 7y -12 = 7y Solving -12 = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -12 + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 -12 + -7y = 0 Add '12' to each side of the equation. -12 + 12 + -7y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7y = 0 + 12 -7y = 0 + 12 Combine like terms: 0 + 12 = 12 -7y = 12 Divide each side by '-7'. y = -1.714285714 Simplifying y = -1.714285714
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