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Simplifying (y + -3) + -1(y + -7) = 3y Reorder the terms: (-3 + y) + -1(y + -7) = 3y Remove parenthesis around (-3 + y) -3 + y + -1(y + -7) = 3y Reorder the terms: -3 + y + -1(-7 + y) = 3y -3 + y + (-7 * -1 + y * -1) = 3y -3 + y + (7 + -1y) = 3y Reorder the terms: -3 + 7 + y + -1y = 3y Combine like terms: -3 + 7 = 4 4 + y + -1y = 3y Combine like terms: y + -1y = 0 4 + 0 = 3y 4 = 3y Solving 4 = 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. 4 + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 4 + -3y = 0 Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333
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