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Simplifying 2y + -2 + -1y = 2(3y + 4) Reorder the terms: -2 + 2y + -1y = 2(3y + 4) Combine like terms: 2y + -1y = 1y -2 + 1y = 2(3y + 4) Reorder the terms: -2 + 1y = 2(4 + 3y) -2 + 1y = (4 * 2 + 3y * 2) -2 + 1y = (8 + 6y) Solving -2 + 1y = 8 + 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. -2 + 1y + -6y = 8 + 6y + -6y Combine like terms: 1y + -6y = -5y -2 + -5y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 -2 + -5y = 8 + 0 -2 + -5y = 8 Add '2' to each side of the equation. -2 + 2 + -5y = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 8 + 2 -5y = 8 + 2 Combine like terms: 8 + 2 = 10 -5y = 10 Divide each side by '-5'. y = -2 Simplifying y = -2
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