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Simplifying 7y + -12 = 5(y + -7) Reorder the terms: -12 + 7y = 5(y + -7) Reorder the terms: -12 + 7y = 5(-7 + y) -12 + 7y = (-7 * 5 + y * 5) -12 + 7y = (-35 + 5y) Solving -12 + 7y = -35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + 7y + -5y = -35 + 5y + -5y Combine like terms: 7y + -5y = 2y -12 + 2y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + 2y = -35 + 0 -12 + 2y = -35 Add '12' to each side of the equation. -12 + 12 + 2y = -35 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = -35 + 12 2y = -35 + 12 Combine like terms: -35 + 12 = -23 2y = -23 Divide each side by '2'. y = -11.5 Simplifying y = -11.5
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