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Simplifying 6y + 24 = 2(4y + -10) Reorder the terms: 24 + 6y = 2(4y + -10) Reorder the terms: 24 + 6y = 2(-10 + 4y) 24 + 6y = (-10 * 2 + 4y * 2) 24 + 6y = (-20 + 8y) Solving 24 + 6y = -20 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 24 + 6y + -8y = -20 + 8y + -8y Combine like terms: 6y + -8y = -2y 24 + -2y = -20 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -2y = -20 + 0 24 + -2y = -20 Add '-24' to each side of the equation. 24 + -24 + -2y = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -2y = -20 + -24 -2y = -20 + -24 Combine like terms: -20 + -24 = -44 -2y = -44 Divide each side by '-2'. y = 22 Simplifying y = 22
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