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Simplifying -48 + 6y + 6 = 3(3y + -2) + -9 Reorder the terms: -48 + 6 + 6y = 3(3y + -2) + -9 Combine like terms: -48 + 6 = -42 -42 + 6y = 3(3y + -2) + -9 Reorder the terms: -42 + 6y = 3(-2 + 3y) + -9 -42 + 6y = (-2 * 3 + 3y * 3) + -9 -42 + 6y = (-6 + 9y) + -9 Reorder the terms: -42 + 6y = -6 + -9 + 9y Combine like terms: -6 + -9 = -15 -42 + 6y = -15 + 9y Solving -42 + 6y = -15 + 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 = -15 + 9y + -9y Combine like terms: 6y + -9y = -3y -42 + -3y = -15 + 9y + -9y Combine like terms: 9y + -9y = 0 -42 + -3y = -15 + 0 -42 + -3y = -15 Add '42' to each side of the equation. -42 + 42 + -3y = -15 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -15 + 42 -3y = -15 + 42 Combine like terms: -15 + 42 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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