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Simplifying 3y + -6(4y + -4) = 2y + 5 Reorder the terms: 3y + -6(-4 + 4y) = 2y + 5 3y + (-4 * -6 + 4y * -6) = 2y + 5 3y + (24 + -24y) = 2y + 5 Reorder the terms: 24 + 3y + -24y = 2y + 5 Combine like terms: 3y + -24y = -21y 24 + -21y = 2y + 5 Reorder the terms: 24 + -21y = 5 + 2y Solving 24 + -21y = 5 + 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. 24 + -21y + -2y = 5 + 2y + -2y Combine like terms: -21y + -2y = -23y 24 + -23y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + -23y = 5 + 0 24 + -23y = 5 Add '-24' to each side of the equation. 24 + -24 + -23y = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -23y = 5 + -24 -23y = 5 + -24 Combine like terms: 5 + -24 = -19 -23y = -19 Divide each side by '-23'. y = 0.8260869565 Simplifying y = 0.8260869565
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