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Simplifying 3y + 2(y + -2) = 5y + -2(y + -6) Reorder the terms: 3y + 2(-2 + y) = 5y + -2(y + -6) 3y + (-2 * 2 + y * 2) = 5y + -2(y + -6) 3y + (-4 + 2y) = 5y + -2(y + -6) Reorder the terms: -4 + 3y + 2y = 5y + -2(y + -6) Combine like terms: 3y + 2y = 5y -4 + 5y = 5y + -2(y + -6) Reorder the terms: -4 + 5y = 5y + -2(-6 + y) -4 + 5y = 5y + (-6 * -2 + y * -2) -4 + 5y = 5y + (12 + -2y) Reorder the terms: -4 + 5y = 12 + 5y + -2y Combine like terms: 5y + -2y = 3y -4 + 5y = 12 + 3y Solving -4 + 5y = 12 + 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. -4 + 5y + -3y = 12 + 3y + -3y Combine like terms: 5y + -3y = 2y -4 + 2y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + 2y = 12 + 0 -4 + 2y = 12 Add '4' to each side of the equation. -4 + 4 + 2y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 12 + 4 2y = 12 + 4 Combine like terms: 12 + 4 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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