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Simplifying 8y + -4(3 + y) = 32 + 2y 8y + (3 * -4 + y * -4) = 32 + 2y 8y + (-12 + -4y) = 32 + 2y Reorder the terms: -12 + 8y + -4y = 32 + 2y Combine like terms: 8y + -4y = 4y -12 + 4y = 32 + 2y Solving -12 + 4y = 32 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + 4y + -2y = 32 + 2y + -2y Combine like terms: 4y + -2y = 2y -12 + 2y = 32 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 2y = 32 + 0 -12 + 2y = 32 Add '12' to each side of the equation. -12 + 12 + 2y = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 32 + 12 2y = 32 + 12 Combine like terms: 32 + 12 = 44 2y = 44 Divide each side by '2'. y = 22 Simplifying y = 22
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