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Simplifying 3y + 2(2y + -3) = 8 + -7(y + -2) Reorder the terms: 3y + 2(-3 + 2y) = 8 + -7(y + -2) 3y + (-3 * 2 + 2y * 2) = 8 + -7(y + -2) 3y + (-6 + 4y) = 8 + -7(y + -2) Reorder the terms: -6 + 3y + 4y = 8 + -7(y + -2) Combine like terms: 3y + 4y = 7y -6 + 7y = 8 + -7(y + -2) Reorder the terms: -6 + 7y = 8 + -7(-2 + y) -6 + 7y = 8 + (-2 * -7 + y * -7) -6 + 7y = 8 + (14 + -7y) Combine like terms: 8 + 14 = 22 -6 + 7y = 22 + -7y Solving -6 + 7y = 22 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -6 + 7y + 7y = 22 + -7y + 7y Combine like terms: 7y + 7y = 14y -6 + 14y = 22 + -7y + 7y Combine like terms: -7y + 7y = 0 -6 + 14y = 22 + 0 -6 + 14y = 22 Add '6' to each side of the equation. -6 + 6 + 14y = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 14y = 22 + 6 14y = 22 + 6 Combine like terms: 22 + 6 = 28 14y = 28 Divide each side by '14'. y = 2 Simplifying y = 2
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