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Simplifying 3y + 17 = 7(y + -1) Reorder the terms: 17 + 3y = 7(y + -1) Reorder the terms: 17 + 3y = 7(-1 + y) 17 + 3y = (-1 * 7 + y * 7) 17 + 3y = (-7 + 7y) Solving 17 + 3y = -7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 17 + 3y + -7y = -7 + 7y + -7y Combine like terms: 3y + -7y = -4y 17 + -4y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 17 + -4y = -7 + 0 17 + -4y = -7 Add '-17' to each side of the equation. 17 + -17 + -4y = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -4y = -7 + -17 -4y = -7 + -17 Combine like terms: -7 + -17 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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