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Simplifying 6(y + -3) + 20 = 4y + -1(3y + 18) Reorder the terms: 6(-3 + y) + 20 = 4y + -1(3y + 18) (-3 * 6 + y * 6) + 20 = 4y + -1(3y + 18) (-18 + 6y) + 20 = 4y + -1(3y + 18) Reorder the terms: -18 + 20 + 6y = 4y + -1(3y + 18) Combine like terms: -18 + 20 = 2 2 + 6y = 4y + -1(3y + 18) Reorder the terms: 2 + 6y = 4y + -1(18 + 3y) 2 + 6y = 4y + (18 * -1 + 3y * -1) 2 + 6y = 4y + (-18 + -3y) Reorder the terms: 2 + 6y = -18 + 4y + -3y Combine like terms: 4y + -3y = 1y 2 + 6y = -18 + 1y Solving 2 + 6y = -18 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 2 + 6y + -1y = -18 + 1y + -1y Combine like terms: 6y + -1y = 5y 2 + 5y = -18 + 1y + -1y Combine like terms: 1y + -1y = 0 2 + 5y = -18 + 0 2 + 5y = -18 Add '-2' to each side of the equation. 2 + -2 + 5y = -18 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = -18 + -2 5y = -18 + -2 Combine like terms: -18 + -2 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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