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Simplifying 8y + 14 = -4(y + -2) Reorder the terms: 14 + 8y = -4(y + -2) Reorder the terms: 14 + 8y = -4(-2 + y) 14 + 8y = (-2 * -4 + y * -4) 14 + 8y = (8 + -4y) Solving 14 + 8y = 8 + -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. 14 + 8y + 4y = 8 + -4y + 4y Combine like terms: 8y + 4y = 12y 14 + 12y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 14 + 12y = 8 + 0 14 + 12y = 8 Add '-14' to each side of the equation. 14 + -14 + 12y = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 12y = 8 + -14 12y = 8 + -14 Combine like terms: 8 + -14 = -6 12y = -6 Divide each side by '12'. y = -0.5 Simplifying y = -0.5
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