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