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Simplifying 6(6y + -1) + -5 = 7(3y + -2) + -24 Reorder the terms: 6(-1 + 6y) + -5 = 7(3y + -2) + -24 (-1 * 6 + 6y * 6) + -5 = 7(3y + -2) + -24 (-6 + 36y) + -5 = 7(3y + -2) + -24 Reorder the terms: -6 + -5 + 36y = 7(3y + -2) + -24 Combine like terms: -6 + -5 = -11 -11 + 36y = 7(3y + -2) + -24 Reorder the terms: -11 + 36y = 7(-2 + 3y) + -24 -11 + 36y = (-2 * 7 + 3y * 7) + -24 -11 + 36y = (-14 + 21y) + -24 Reorder the terms: -11 + 36y = -14 + -24 + 21y Combine like terms: -14 + -24 = -38 -11 + 36y = -38 + 21y Solving -11 + 36y = -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 + 36y + -21y = -38 + 21y + -21y Combine like terms: 36y + -21y = 15y -11 + 15y = -38 + 21y + -21y Combine like terms: 21y + -21y = 0 -11 + 15y = -38 + 0 -11 + 15y = -38 Add '11' to each side of the equation. -11 + 11 + 15y = -38 + 11 Combine like terms: -11 + 11 = 0 0 + 15y = -38 + 11 15y = -38 + 11 Combine like terms: -38 + 11 = -27 15y = -27 Divide each side by '15'. y = -1.8 Simplifying y = -1.8
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