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Simplifying 8y + 7 = 1 + -2(3y + -3) Reorder the terms: 7 + 8y = 1 + -2(3y + -3) Reorder the terms: 7 + 8y = 1 + -2(-3 + 3y) 7 + 8y = 1 + (-3 * -2 + 3y * -2) 7 + 8y = 1 + (6 + -6y) Combine like terms: 1 + 6 = 7 7 + 8y = 7 + -6y Add '-7' to each side of the equation. 7 + -7 + 8y = 7 + -7 + -6y Combine like terms: 7 + -7 = 0 0 + 8y = 7 + -7 + -6y 8y = 7 + -7 + -6y Combine like terms: 7 + -7 = 0 8y = 0 + -6y 8y = -6y Solving 8y = -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 8y + 6y = -6y + 6y Combine like terms: 8y + 6y = 14y 14y = -6y + 6y Combine like terms: -6y + 6y = 0 14y = 0 Divide each side by '14'. y = 0 Simplifying y = 0
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