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Simplifying 2y + -1(2 + 4y) = 32 + -2(4y + -4) 2y + (2 * -1 + 4y * -1) = 32 + -2(4y + -4) 2y + (-2 + -4y) = 32 + -2(4y + -4) Reorder the terms: -2 + 2y + -4y = 32 + -2(4y + -4) Combine like terms: 2y + -4y = -2y -2 + -2y = 32 + -2(4y + -4) Reorder the terms: -2 + -2y = 32 + -2(-4 + 4y) -2 + -2y = 32 + (-4 * -2 + 4y * -2) -2 + -2y = 32 + (8 + -8y) Combine like terms: 32 + 8 = 40 -2 + -2y = 40 + -8y Solving -2 + -2y = 40 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -2 + -2y + 8y = 40 + -8y + 8y Combine like terms: -2y + 8y = 6y -2 + 6y = 40 + -8y + 8y Combine like terms: -8y + 8y = 0 -2 + 6y = 40 + 0 -2 + 6y = 40 Add '2' to each side of the equation. -2 + 2 + 6y = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 6y = 40 + 2 6y = 40 + 2 Combine like terms: 40 + 2 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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