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Simplifying 7(y + -1) = 5y + -19 Reorder the terms: 7(-1 + y) = 5y + -19 (-1 * 7 + y * 7) = 5y + -19 (-7 + 7y) = 5y + -19 Reorder the terms: -7 + 7y = -19 + 5y Solving -7 + 7y = -19 + 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. -7 + 7y + -5y = -19 + 5y + -5y Combine like terms: 7y + -5y = 2y -7 + 2y = -19 + 5y + -5y Combine like terms: 5y + -5y = 0 -7 + 2y = -19 + 0 -7 + 2y = -19 Add '7' to each side of the equation. -7 + 7 + 2y = -19 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = -19 + 7 2y = -19 + 7 Combine like terms: -19 + 7 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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