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Simplifying 2y + 4(y + -6) = 8y + -4(y + -10) Reorder the terms: 2y + 4(-6 + y) = 8y + -4(y + -10) 2y + (-6 * 4 + y * 4) = 8y + -4(y + -10) 2y + (-24 + 4y) = 8y + -4(y + -10) Reorder the terms: -24 + 2y + 4y = 8y + -4(y + -10) Combine like terms: 2y + 4y = 6y -24 + 6y = 8y + -4(y + -10) Reorder the terms: -24 + 6y = 8y + -4(-10 + y) -24 + 6y = 8y + (-10 * -4 + y * -4) -24 + 6y = 8y + (40 + -4y) Reorder the terms: -24 + 6y = 40 + 8y + -4y Combine like terms: 8y + -4y = 4y -24 + 6y = 40 + 4y Solving -24 + 6y = 40 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -24 + 6y + -4y = 40 + 4y + -4y Combine like terms: 6y + -4y = 2y -24 + 2y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 2y = 40 + 0 -24 + 2y = 40 Add '24' to each side of the equation. -24 + 24 + 2y = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = 40 + 24 2y = 40 + 24 Combine like terms: 40 + 24 = 64 2y = 64 Divide each side by '2'. y = 32 Simplifying y = 32
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