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Simplifying 7(3y + -2) + 5 = 6(2y + -1) + 24 Reorder the terms: 7(-2 + 3y) + 5 = 6(2y + -1) + 24 (-2 * 7 + 3y * 7) + 5 = 6(2y + -1) + 24 (-14 + 21y) + 5 = 6(2y + -1) + 24 Reorder the terms: -14 + 5 + 21y = 6(2y + -1) + 24 Combine like terms: -14 + 5 = -9 -9 + 21y = 6(2y + -1) + 24 Reorder the terms: -9 + 21y = 6(-1 + 2y) + 24 -9 + 21y = (-1 * 6 + 2y * 6) + 24 -9 + 21y = (-6 + 12y) + 24 Reorder the terms: -9 + 21y = -6 + 24 + 12y Combine like terms: -6 + 24 = 18 -9 + 21y = 18 + 12y Solving -9 + 21y = 18 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -9 + 21y + -12y = 18 + 12y + -12y Combine like terms: 21y + -12y = 9y -9 + 9y = 18 + 12y + -12y Combine like terms: 12y + -12y = 0 -9 + 9y = 18 + 0 -9 + 9y = 18 Add '9' to each side of the equation. -9 + 9 + 9y = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 9y = 18 + 9 9y = 18 + 9 Combine like terms: 18 + 9 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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