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Simplifying -7 + 2y = -1(y + 100) Reorder the terms: -7 + 2y = -1(100 + y) -7 + 2y = (100 * -1 + y * -1) -7 + 2y = (-100 + -1y) Solving -7 + 2y = -100 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -7 + 2y + y = -100 + -1y + y Combine like terms: 2y + y = 3y -7 + 3y = -100 + -1y + y Combine like terms: -1y + y = 0 -7 + 3y = -100 + 0 -7 + 3y = -100 Add '7' to each side of the equation. -7 + 7 + 3y = -100 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = -100 + 7 3y = -100 + 7 Combine like terms: -100 + 7 = -93 3y = -93 Divide each side by '3'. y = -31 Simplifying y = -31
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