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Simplifying 2(8 + 6y) = 4(2y + -12) (8 * 2 + 6y * 2) = 4(2y + -12) (16 + 12y) = 4(2y + -12) Reorder the terms: 16 + 12y = 4(-12 + 2y) 16 + 12y = (-12 * 4 + 2y * 4) 16 + 12y = (-48 + 8y) Solving 16 + 12y = -48 + 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. 16 + 12y + -8y = -48 + 8y + -8y Combine like terms: 12y + -8y = 4y 16 + 4y = -48 + 8y + -8y Combine like terms: 8y + -8y = 0 16 + 4y = -48 + 0 16 + 4y = -48 Add '-16' to each side of the equation. 16 + -16 + 4y = -48 + -16 Combine like terms: 16 + -16 = 0 0 + 4y = -48 + -16 4y = -48 + -16 Combine like terms: -48 + -16 = -64 4y = -64 Divide each side by '4'. y = -16 Simplifying y = -16
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