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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 = 10y -17 + 10y = -7 + -7y + 7y Combine like terms: -7y + 7y = 0 -17 + 10y = -7 + 0 -17 + 10y = -7 Add '17' to each side of the equation. -17 + 17 + 10y = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 10y = -7 + 17 10y = -7 + 17 Combine like terms: -7 + 17 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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