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Simplifying 6(2y + -1) + -5 = 7(3y + -2) + -24 Reorder the terms: 6(-1 + 2y) + -5 = 7(3y + -2) + -24 (-1 * 6 + 2y * 6) + -5 = 7(3y + -2) + -24 (-6 + 12y) + -5 = 7(3y + -2) + -24 Reorder the terms: -6 + -5 + 12y = 7(3y + -2) + -24 Combine like terms: -6 + -5 = -11 -11 + 12y = 7(3y + -2) + -24 Reorder the terms: -11 + 12y = 7(-2 + 3y) + -24 -11 + 12y = (-2 * 7 + 3y * 7) + -24 -11 + 12y = (-14 + 21y) + -24 Reorder the terms: -11 + 12y = -14 + -24 + 21y Combine like terms: -14 + -24 = -38 -11 + 12y = -38 + 21y Solving -11 + 12y = -38 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -11 + 12y + -21y = -38 + 21y + -21y Combine like terms: 12y + -21y = -9y -11 + -9y = -38 + 21y + -21y Combine like terms: 21y + -21y = 0 -11 + -9y = -38 + 0 -11 + -9y = -38 Add '11' to each side of the equation. -11 + 11 + -9y = -38 + 11 Combine like terms: -11 + 11 = 0 0 + -9y = -38 + 11 -9y = -38 + 11 Combine like terms: -38 + 11 = -27 -9y = -27 Divide each side by '-9'. y = 3 Simplifying y = 3
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