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Simplifying (y + -7) = 4 + -1(y + -7) Reorder the terms: (-7 + y) = 4 + -1(y + -7) Remove parenthesis around (-7 + y) -7 + y = 4 + -1(y + -7) Reorder the terms: -7 + y = 4 + -1(-7 + y) -7 + y = 4 + (-7 * -1 + y * -1) -7 + y = 4 + (7 + -1y) Combine like terms: 4 + 7 = 11 -7 + y = 11 + -1y Solving -7 + y = 11 + -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 = 11 + -1y + y Combine like terms: y + y = 2y -7 + 2y = 11 + -1y + y Combine like terms: -1y + y = 0 -7 + 2y = 11 + 0 -7 + 2y = 11 Add '7' to each side of the equation. -7 + 7 + 2y = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 11 + 7 2y = 11 + 7 Combine like terms: 11 + 7 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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