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Simplifying 8y + -3(y + -6) = 4(y + -2) + -2 Reorder the terms: 8y + -3(-6 + y) = 4(y + -2) + -2 8y + (-6 * -3 + y * -3) = 4(y + -2) + -2 8y + (18 + -3y) = 4(y + -2) + -2 Reorder the terms: 18 + 8y + -3y = 4(y + -2) + -2 Combine like terms: 8y + -3y = 5y 18 + 5y = 4(y + -2) + -2 Reorder the terms: 18 + 5y = 4(-2 + y) + -2 18 + 5y = (-2 * 4 + y * 4) + -2 18 + 5y = (-8 + 4y) + -2 Reorder the terms: 18 + 5y = -8 + -2 + 4y Combine like terms: -8 + -2 = -10 18 + 5y = -10 + 4y Solving 18 + 5y = -10 + 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. 18 + 5y + -4y = -10 + 4y + -4y Combine like terms: 5y + -4y = 1y 18 + 1y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + 1y = -10 + 0 18 + 1y = -10 Add '-18' to each side of the equation. 18 + -18 + 1y = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = -10 + -18 1y = -10 + -18 Combine like terms: -10 + -18 = -28 1y = -28 Divide each side by '1'. y = -28 Simplifying y = -28
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