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Simplifying 6(y + -1) = 7y + -13 Reorder the terms: 6(-1 + y) = 7y + -13 (-1 * 6 + y * 6) = 7y + -13 (-6 + 6y) = 7y + -13 Reorder the terms: -6 + 6y = -13 + 7y Solving -6 + 6y = -13 + 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. -6 + 6y + -7y = -13 + 7y + -7y Combine like terms: 6y + -7y = -1y -6 + -1y = -13 + 7y + -7y Combine like terms: 7y + -7y = 0 -6 + -1y = -13 + 0 -6 + -1y = -13 Add '6' to each side of the equation. -6 + 6 + -1y = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = -13 + 6 -1y = -13 + 6 Combine like terms: -13 + 6 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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