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Simplifying 3(10 + -2y) = -22 + 2y (10 * 3 + -2y * 3) = -22 + 2y (30 + -6y) = -22 + 2y Solving 30 + -6y = -22 + 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. 30 + -6y + -2y = -22 + 2y + -2y Combine like terms: -6y + -2y = -8y 30 + -8y = -22 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + -8y = -22 + 0 30 + -8y = -22 Add '-30' to each side of the equation. 30 + -30 + -8y = -22 + -30 Combine like terms: 30 + -30 = 0 0 + -8y = -22 + -30 -8y = -22 + -30 Combine like terms: -22 + -30 = -52 -8y = -52 Divide each side by '-8'. y = 6.5 Simplifying y = 6.5
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