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Simplifying 22 + -2(4 + -1y) = (7 + -3y)(-10) 22 + (4 * -2 + -1y * -2) = (7 + -3y)(-10) 22 + (-8 + 2y) = (7 + -3y)(-10) Combine like terms: 22 + -8 = 14 14 + 2y = (7 + -3y)(-10) Reorder the terms for easier multiplication: 14 + 2y = -10(7 + -3y) 14 + 2y = (7 * -10 + -3y * -10) 14 + 2y = (-70 + 30y) Solving 14 + 2y = -70 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 14 + 2y + -30y = -70 + 30y + -30y Combine like terms: 2y + -30y = -28y 14 + -28y = -70 + 30y + -30y Combine like terms: 30y + -30y = 0 14 + -28y = -70 + 0 14 + -28y = -70 Add '-14' to each side of the equation. 14 + -14 + -28y = -70 + -14 Combine like terms: 14 + -14 = 0 0 + -28y = -70 + -14 -28y = -70 + -14 Combine like terms: -70 + -14 = -84 -28y = -84 Divide each side by '-28'. y = 3 Simplifying y = 3
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