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Simplifying 5(y + 14) = -3y + 6 Reorder the terms: 5(14 + y) = -3y + 6 (14 * 5 + y * 5) = -3y + 6 (70 + 5y) = -3y + 6 Reorder the terms: 70 + 5y = 6 + -3y Solving 70 + 5y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 70 + 5y + 3y = 6 + -3y + 3y Combine like terms: 5y + 3y = 8y 70 + 8y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 70 + 8y = 6 + 0 70 + 8y = 6 Add '-70' to each side of the equation. 70 + -70 + 8y = 6 + -70 Combine like terms: 70 + -70 = 0 0 + 8y = 6 + -70 8y = 6 + -70 Combine like terms: 6 + -70 = -64 8y = -64 Divide each side by '8'. y = -8 Simplifying y = -8
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