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Simplifying 6(y + -7) = 9y + -48 Reorder the terms: 6(-7 + y) = 9y + -48 (-7 * 6 + y * 6) = 9y + -48 (-42 + 6y) = 9y + -48 Reorder the terms: -42 + 6y = -48 + 9y Solving -42 + 6y = -48 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -42 + 6y + -9y = -48 + 9y + -9y Combine like terms: 6y + -9y = -3y -42 + -3y = -48 + 9y + -9y Combine like terms: 9y + -9y = 0 -42 + -3y = -48 + 0 -42 + -3y = -48 Add '42' to each side of the equation. -42 + 42 + -3y = -48 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -48 + 42 -3y = -48 + 42 Combine like terms: -48 + 42 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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