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Simplifying 6y + 2(y + -2) = 8y + -2(y + -10) Reorder the terms: 6y + 2(-2 + y) = 8y + -2(y + -10) 6y + (-2 * 2 + y * 2) = 8y + -2(y + -10) 6y + (-4 + 2y) = 8y + -2(y + -10) Reorder the terms: -4 + 6y + 2y = 8y + -2(y + -10) Combine like terms: 6y + 2y = 8y -4 + 8y = 8y + -2(y + -10) Reorder the terms: -4 + 8y = 8y + -2(-10 + y) -4 + 8y = 8y + (-10 * -2 + y * -2) -4 + 8y = 8y + (20 + -2y) Reorder the terms: -4 + 8y = 20 + 8y + -2y Combine like terms: 8y + -2y = 6y -4 + 8y = 20 + 6y Solving -4 + 8y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -4 + 8y + -6y = 20 + 6y + -6y Combine like terms: 8y + -6y = 2y -4 + 2y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + 2y = 20 + 0 -4 + 2y = 20 Add '4' to each side of the equation. -4 + 4 + 2y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 20 + 4 2y = 20 + 4 Combine like terms: 20 + 4 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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