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Simplifying 6 = -3(22 + -1y) + 2(y + -4) 6 = (22 * -3 + -1y * -3) + 2(y + -4) 6 = (-66 + 3y) + 2(y + -4) Reorder the terms: 6 = -66 + 3y + 2(-4 + y) 6 = -66 + 3y + (-4 * 2 + y * 2) 6 = -66 + 3y + (-8 + 2y) Reorder the terms: 6 = -66 + -8 + 3y + 2y Combine like terms: -66 + -8 = -74 6 = -74 + 3y + 2y Combine like terms: 3y + 2y = 5y 6 = -74 + 5y Solving 6 = -74 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 6 + -5y = -74 + 5y + -5y Combine like terms: 5y + -5y = 0 6 + -5y = -74 + 0 6 + -5y = -74 Add '-6' to each side of the equation. 6 + -6 + -5y = -74 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = -74 + -6 -5y = -74 + -6 Combine like terms: -74 + -6 = -80 -5y = -80 Divide each side by '-5'. y = 16 Simplifying y = 16
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