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Simplifying 7y + 2(y + -7) = 6(y + -7) + -3 Reorder the terms: 7y + 2(-7 + y) = 6(y + -7) + -3 7y + (-7 * 2 + y * 2) = 6(y + -7) + -3 7y + (-14 + 2y) = 6(y + -7) + -3 Reorder the terms: -14 + 7y + 2y = 6(y + -7) + -3 Combine like terms: 7y + 2y = 9y -14 + 9y = 6(y + -7) + -3 Reorder the terms: -14 + 9y = 6(-7 + y) + -3 -14 + 9y = (-7 * 6 + y * 6) + -3 -14 + 9y = (-42 + 6y) + -3 Reorder the terms: -14 + 9y = -42 + -3 + 6y Combine like terms: -42 + -3 = -45 -14 + 9y = -45 + 6y Solving -14 + 9y = -45 + 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. -14 + 9y + -6y = -45 + 6y + -6y Combine like terms: 9y + -6y = 3y -14 + 3y = -45 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + 3y = -45 + 0 -14 + 3y = -45 Add '14' to each side of the equation. -14 + 14 + 3y = -45 + 14 Combine like terms: -14 + 14 = 0 0 + 3y = -45 + 14 3y = -45 + 14 Combine like terms: -45 + 14 = -31 3y = -31 Divide each side by '3'. y = -10.33333333 Simplifying y = -10.33333333
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