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Simplifying 10y + -24 = 2(4y + -6) Reorder the terms: -24 + 10y = 2(4y + -6) Reorder the terms: -24 + 10y = 2(-6 + 4y) -24 + 10y = (-6 * 2 + 4y * 2) -24 + 10y = (-12 + 8y) Solving -24 + 10y = -12 + 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 + 10y + -8y = -12 + 8y + -8y Combine like terms: 10y + -8y = 2y -24 + 2y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 -24 + 2y = -12 + 0 -24 + 2y = -12 Add '24' to each side of the equation. -24 + 24 + 2y = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = -12 + 24 2y = -12 + 24 Combine like terms: -12 + 24 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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