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Simplifying 22 = 4(-3 + 5y) + -2(1 + -8y) 22 = (-3 * 4 + 5y * 4) + -2(1 + -8y) 22 = (-12 + 20y) + -2(1 + -8y) 22 = -12 + 20y + (1 * -2 + -8y * -2) 22 = -12 + 20y + (-2 + 16y) Reorder the terms: 22 = -12 + -2 + 20y + 16y Combine like terms: -12 + -2 = -14 22 = -14 + 20y + 16y Combine like terms: 20y + 16y = 36y 22 = -14 + 36y Solving 22 = -14 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. 22 + -36y = -14 + 36y + -36y Combine like terms: 36y + -36y = 0 22 + -36y = -14 + 0 22 + -36y = -14 Add '-22' to each side of the equation. 22 + -22 + -36y = -14 + -22 Combine like terms: 22 + -22 = 0 0 + -36y = -14 + -22 -36y = -14 + -22 Combine like terms: -14 + -22 = -36 -36y = -36 Divide each side by '-36'. y = 1 Simplifying y = 1
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