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Simplifying 3y + -2(6y + -4) = -1y + -16 Reorder the terms: 3y + -2(-4 + 6y) = -1y + -16 3y + (-4 * -2 + 6y * -2) = -1y + -16 3y + (8 + -12y) = -1y + -16 Reorder the terms: 8 + 3y + -12y = -1y + -16 Combine like terms: 3y + -12y = -9y 8 + -9y = -1y + -16 Reorder the terms: 8 + -9y = -16 + -1y Solving 8 + -9y = -16 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 8 + -9y + y = -16 + -1y + y Combine like terms: -9y + y = -8y 8 + -8y = -16 + -1y + y Combine like terms: -1y + y = 0 8 + -8y = -16 + 0 8 + -8y = -16 Add '-8' to each side of the equation. 8 + -8 + -8y = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = -16 + -8 -8y = -16 + -8 Combine like terms: -16 + -8 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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