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Simplifying 7(y + -3) = 6(y + -7) + 6 Reorder the terms: 7(-3 + y) = 6(y + -7) + 6 (-3 * 7 + y * 7) = 6(y + -7) + 6 (-21 + 7y) = 6(y + -7) + 6 Reorder the terms: -21 + 7y = 6(-7 + y) + 6 -21 + 7y = (-7 * 6 + y * 6) + 6 -21 + 7y = (-42 + 6y) + 6 Reorder the terms: -21 + 7y = -42 + 6 + 6y Combine like terms: -42 + 6 = -36 -21 + 7y = -36 + 6y Solving -21 + 7y = -36 + 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. -21 + 7y + -6y = -36 + 6y + -6y Combine like terms: 7y + -6y = 1y -21 + 1y = -36 + 6y + -6y Combine like terms: 6y + -6y = 0 -21 + 1y = -36 + 0 -21 + 1y = -36 Add '21' to each side of the equation. -21 + 21 + 1y = -36 + 21 Combine like terms: -21 + 21 = 0 0 + 1y = -36 + 21 1y = -36 + 21 Combine like terms: -36 + 21 = -15 1y = -15 Divide each side by '1'. y = -15 Simplifying y = -15
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