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Simplifying 7(y + -6) = 2(3y + 3) + -48 Reorder the terms: 7(-6 + y) = 2(3y + 3) + -48 (-6 * 7 + y * 7) = 2(3y + 3) + -48 (-42 + 7y) = 2(3y + 3) + -48 Reorder the terms: -42 + 7y = 2(3 + 3y) + -48 -42 + 7y = (3 * 2 + 3y * 2) + -48 -42 + 7y = (6 + 6y) + -48 Reorder the terms: -42 + 7y = 6 + -48 + 6y Combine like terms: 6 + -48 = -42 -42 + 7y = -42 + 6y Add '42' to each side of the equation. -42 + 42 + 7y = -42 + 42 + 6y Combine like terms: -42 + 42 = 0 0 + 7y = -42 + 42 + 6y 7y = -42 + 42 + 6y Combine like terms: -42 + 42 = 0 7y = 0 + 6y 7y = 6y Solving 7y = 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. 7y + -6y = 6y + -6y Combine like terms: 7y + -6y = 1y 1y = 6y + -6y Combine like terms: 6y + -6y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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