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Simplifying (y + -7) = 10 + -1(y + -7) Reorder the terms: (-7 + y) = 10 + -1(y + -7) Remove parenthesis around (-7 + y) -7 + y = 10 + -1(y + -7) Reorder the terms: -7 + y = 10 + -1(-7 + y) -7 + y = 10 + (-7 * -1 + y * -1) -7 + y = 10 + (7 + -1y) Combine like terms: 10 + 7 = 17 -7 + y = 17 + -1y Solving -7 + y = 17 + -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 + y + y = 17 + -1y + y Combine like terms: y + y = 2y -7 + 2y = 17 + -1y + y Combine like terms: -1y + y = 0 -7 + 2y = 17 + 0 -7 + 2y = 17 Add '7' to each side of the equation. -7 + 7 + 2y = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 17 + 7 2y = 17 + 7 Combine like terms: 17 + 7 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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