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Simplifying 5y + -2(y + 3) = 2 + -1y Reorder the terms: 5y + -2(3 + y) = 2 + -1y 5y + (3 * -2 + y * -2) = 2 + -1y 5y + (-6 + -2y) = 2 + -1y Reorder the terms: -6 + 5y + -2y = 2 + -1y Combine like terms: 5y + -2y = 3y -6 + 3y = 2 + -1y Solving -6 + 3y = 2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -6 + 3y + y = 2 + -1y + y Combine like terms: 3y + y = 4y -6 + 4y = 2 + -1y + y Combine like terms: -1y + y = 0 -6 + 4y = 2 + 0 -6 + 4y = 2 Add '6' to each side of the equation. -6 + 6 + 4y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = 2 + 6 4y = 2 + 6 Combine like terms: 2 + 6 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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