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Simplifying 5y + 6(3y + -2) = 2y + -24 Reorder the terms: 5y + 6(-2 + 3y) = 2y + -24 5y + (-2 * 6 + 3y * 6) = 2y + -24 5y + (-12 + 18y) = 2y + -24 Reorder the terms: -12 + 5y + 18y = 2y + -24 Combine like terms: 5y + 18y = 23y -12 + 23y = 2y + -24 Reorder the terms: -12 + 23y = -24 + 2y Solving -12 + 23y = -24 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + 23y + -2y = -24 + 2y + -2y Combine like terms: 23y + -2y = 21y -12 + 21y = -24 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 21y = -24 + 0 -12 + 21y = -24 Add '12' to each side of the equation. -12 + 12 + 21y = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 21y = -24 + 12 21y = -24 + 12 Combine like terms: -24 + 12 = -12 21y = -12 Divide each side by '21'. y = -0.5714285714 Simplifying y = -0.5714285714
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