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Simplifying 4(5 + y) + -6(2 + y) = 4 (5 * 4 + y * 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 = -2y 8 + -2y = 4 Solving 8 + -2y = 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 + -2y = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = 4 + -8 -2y = 4 + -8 Combine like terms: 4 + -8 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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