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Simplifying 4(3 + -1y) + 5y = 2y (3 * 4 + -1y * 4) + 5y = 2y (12 + -4y) + 5y = 2y Combine like terms: -4y + 5y = 1y 12 + 1y = 2y Solving 12 + 1y = 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. 12 + 1y + -2y = 2y + -2y Combine like terms: 1y + -2y = -1y 12 + -1y = 2y + -2y Combine like terms: 2y + -2y = 0 12 + -1y = 0 Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12
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