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Simplifying (y + -7) + -1(y + 8) = 3y Reorder the terms: (-7 + y) + -1(y + 8) = 3y Remove parenthesis around (-7 + y) -7 + y + -1(y + 8) = 3y Reorder the terms: -7 + y + -1(8 + y) = 3y -7 + y + (8 * -1 + y * -1) = 3y -7 + y + (-8 + -1y) = 3y Reorder the terms: -7 + -8 + y + -1y = 3y Combine like terms: -7 + -8 = -15 -15 + y + -1y = 3y Combine like terms: y + -1y = 0 -15 + 0 = 3y -15 = 3y Solving -15 = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -15 + -3y = 0 Add '15' to each side of the equation. -15 + 15 + -3y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3y = 0 + 15 -3y = 0 + 15 Combine like terms: 0 + 15 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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