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Simplifying 7(y + -1) = 6(y + -3) Reorder the terms: 7(-1 + y) = 6(y + -3) (-1 * 7 + y * 7) = 6(y + -3) (-7 + 7y) = 6(y + -3) Reorder the terms: -7 + 7y = 6(-3 + y) -7 + 7y = (-3 * 6 + y * 6) -7 + 7y = (-18 + 6y) Solving -7 + 7y = -18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -7 + 7y + -6y = -18 + 6y + -6y Combine like terms: 7y + -6y = 1y -7 + 1y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 -7 + 1y = -18 + 0 -7 + 1y = -18 Add '7' to each side of the equation. -7 + 7 + 1y = -18 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = -18 + 7 1y = -18 + 7 Combine like terms: -18 + 7 = -11 1y = -11 Divide each side by '1'. y = -11 Simplifying y = -11
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