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Simplifying 2(2y + -1) + -4y + 3 = 5(y + -3) Reorder the terms: 2(-1 + 2y) + -4y + 3 = 5(y + -3) (-1 * 2 + 2y * 2) + -4y + 3 = 5(y + -3) (-2 + 4y) + -4y + 3 = 5(y + -3) Reorder the terms: -2 + 3 + 4y + -4y = 5(y + -3) Combine like terms: -2 + 3 = 1 1 + 4y + -4y = 5(y + -3) Combine like terms: 4y + -4y = 0 1 + 0 = 5(y + -3) 1 = 5(y + -3) Reorder the terms: 1 = 5(-3 + y) 1 = (-3 * 5 + y * 5) 1 = (-15 + 5y) Solving 1 = -15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + -5y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + -5y = -15 + 0 1 + -5y = -15 Add '-1' to each side of the equation. 1 + -1 + -5y = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = -15 + -1 -5y = -15 + -1 Combine like terms: -15 + -1 = -16 -5y = -16 Divide each side by '-5'. y = 3.2 Simplifying y = 3.2
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