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Simplifying 2y + 3(y + -2) = 9y + -2(y + -6) Reorder the terms: 2y + 3(-2 + y) = 9y + -2(y + -6) 2y + (-2 * 3 + y * 3) = 9y + -2(y + -6) 2y + (-6 + 3y) = 9y + -2(y + -6) Reorder the terms: -6 + 2y + 3y = 9y + -2(y + -6) Combine like terms: 2y + 3y = 5y -6 + 5y = 9y + -2(y + -6) Reorder the terms: -6 + 5y = 9y + -2(-6 + y) -6 + 5y = 9y + (-6 * -2 + y * -2) -6 + 5y = 9y + (12 + -2y) Reorder the terms: -6 + 5y = 12 + 9y + -2y Combine like terms: 9y + -2y = 7y -6 + 5y = 12 + 7y Solving -6 + 5y = 12 + 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 + 5y + -7y = 12 + 7y + -7y Combine like terms: 5y + -7y = -2y -6 + -2y = 12 + 7y + -7y Combine like terms: 7y + -7y = 0 -6 + -2y = 12 + 0 -6 + -2y = 12 Add '6' to each side of the equation. -6 + 6 + -2y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2y = 12 + 6 -2y = 12 + 6 Combine like terms: 12 + 6 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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