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Simplifying 2y + -6(y + -2) = 3y + 5 Reorder the terms: 2y + -6(-2 + y) = 3y + 5 2y + (-2 * -6 + y * -6) = 3y + 5 2y + (12 + -6y) = 3y + 5 Reorder the terms: 12 + 2y + -6y = 3y + 5 Combine like terms: 2y + -6y = -4y 12 + -4y = 3y + 5 Reorder the terms: 12 + -4y = 5 + 3y Solving 12 + -4y = 5 + 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. 12 + -4y + -3y = 5 + 3y + -3y Combine like terms: -4y + -3y = -7y 12 + -7y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + -7y = 5 + 0 12 + -7y = 5 Add '-12' to each side of the equation. 12 + -12 + -7y = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -7y = 5 + -12 -7y = 5 + -12 Combine like terms: 5 + -12 = -7 -7y = -7 Divide each side by '-7'. y = 1 Simplifying y = 1
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