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Simplifying 7(y + -1) + 6 = 2(y + -3) Reorder the terms: 7(-1 + y) + 6 = 2(y + -3) (-1 * 7 + y * 7) + 6 = 2(y + -3) (-7 + 7y) + 6 = 2(y + -3) Reorder the terms: -7 + 6 + 7y = 2(y + -3) Combine like terms: -7 + 6 = -1 -1 + 7y = 2(y + -3) Reorder the terms: -1 + 7y = 2(-3 + y) -1 + 7y = (-3 * 2 + y * 2) -1 + 7y = (-6 + 2y) Solving -1 + 7y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -1 + 7y + -2y = -6 + 2y + -2y Combine like terms: 7y + -2y = 5y -1 + 5y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -1 + 5y = -6 + 0 -1 + 5y = -6 Add '1' to each side of the equation. -1 + 1 + 5y = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = -6 + 1 5y = -6 + 1 Combine like terms: -6 + 1 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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