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Simplifying 8 + -4(10 + -3y) = 4y 8 + (10 * -4 + -3y * -4) = 4y 8 + (-40 + 12y) = 4y Combine like terms: 8 + -40 = -32 -32 + 12y = 4y Solving -32 + 12y = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -32 + 12y + -4y = 4y + -4y Combine like terms: 12y + -4y = 8y -32 + 8y = 4y + -4y Combine like terms: 4y + -4y = 0 -32 + 8y = 0 Add '32' to each side of the equation. -32 + 32 + 8y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8y = 0 + 32 8y = 0 + 32 Combine like terms: 0 + 32 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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