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Simplifying 180 + -1(y + 7) = 3y + -17 Reorder the terms: 180 + -1(7 + y) = 3y + -17 180 + (7 * -1 + y * -1) = 3y + -17 180 + (-7 + -1y) = 3y + -17 Combine like terms: 180 + -7 = 173 173 + -1y = 3y + -17 Reorder the terms: 173 + -1y = -17 + 3y Solving 173 + -1y = -17 + 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. 173 + -1y + -3y = -17 + 3y + -3y Combine like terms: -1y + -3y = -4y 173 + -4y = -17 + 3y + -3y Combine like terms: 3y + -3y = 0 173 + -4y = -17 + 0 173 + -4y = -17 Add '-173' to each side of the equation. 173 + -173 + -4y = -17 + -173 Combine like terms: 173 + -173 = 0 0 + -4y = -17 + -173 -4y = -17 + -173 Combine like terms: -17 + -173 = -190 -4y = -190 Divide each side by '-4'. y = 47.5 Simplifying y = 47.5
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