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Simplifying 4(5 + -1y) + -6(2 + y) = 4 (5 * 4 + -1y * 4) + -6(2 + y) = 4 (20 + -4y) + -6(2 + y) = 4 20 + -4y + (2 * -6 + y * -6) = 4 20 + -4y + (-12 + -6y) = 4 Reorder the terms: 20 + -12 + -4y + -6y = 4 Combine like terms: 20 + -12 = 8 8 + -4y + -6y = 4 Combine like terms: -4y + -6y = -10y 8 + -10y = 4 Solving 8 + -10y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -10y = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -10y = 4 + -8 -10y = 4 + -8 Combine like terms: 4 + -8 = -4 -10y = -4 Divide each side by '-10'. y = 0.4 Simplifying y = 0.4
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