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Simplifying 9 + 4(3y + -6) = 3(y + -1) + 7 Reorder the terms: 9 + 4(-6 + 3y) = 3(y + -1) + 7 9 + (-6 * 4 + 3y * 4) = 3(y + -1) + 7 9 + (-24 + 12y) = 3(y + -1) + 7 Combine like terms: 9 + -24 = -15 -15 + 12y = 3(y + -1) + 7 Reorder the terms: -15 + 12y = 3(-1 + y) + 7 -15 + 12y = (-1 * 3 + y * 3) + 7 -15 + 12y = (-3 + 3y) + 7 Reorder the terms: -15 + 12y = -3 + 7 + 3y Combine like terms: -3 + 7 = 4 -15 + 12y = 4 + 3y Solving -15 + 12y = 4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + 12y + -3y = 4 + 3y + -3y Combine like terms: 12y + -3y = 9y -15 + 9y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 9y = 4 + 0 -15 + 9y = 4 Add '15' to each side of the equation. -15 + 15 + 9y = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 9y = 4 + 15 9y = 4 + 15 Combine like terms: 4 + 15 = 19 9y = 19 Divide each side by '9'. y = 2.111111111 Simplifying y = 2.111111111
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