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Simplifying 4y + 2 = 8y + -1(6y + -10) Reorder the terms: 2 + 4y = 8y + -1(6y + -10) Reorder the terms: 2 + 4y = 8y + -1(-10 + 6y) 2 + 4y = 8y + (-10 * -1 + 6y * -1) 2 + 4y = 8y + (10 + -6y) Reorder the terms: 2 + 4y = 10 + 8y + -6y Combine like terms: 8y + -6y = 2y 2 + 4y = 10 + 2y Solving 2 + 4y = 10 + 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. 2 + 4y + -2y = 10 + 2y + -2y Combine like terms: 4y + -2y = 2y 2 + 2y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + 2y = 10 + 0 2 + 2y = 10 Add '-2' to each side of the equation. 2 + -2 + 2y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 10 + -2 2y = 10 + -2 Combine like terms: 10 + -2 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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