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Simplifying 2(2y + 4) + 4 = 3(3y + 4) + -16 Reorder the terms: 2(4 + 2y) + 4 = 3(3y + 4) + -16 (4 * 2 + 2y * 2) + 4 = 3(3y + 4) + -16 (8 + 4y) + 4 = 3(3y + 4) + -16 Reorder the terms: 8 + 4 + 4y = 3(3y + 4) + -16 Combine like terms: 8 + 4 = 12 12 + 4y = 3(3y + 4) + -16 Reorder the terms: 12 + 4y = 3(4 + 3y) + -16 12 + 4y = (4 * 3 + 3y * 3) + -16 12 + 4y = (12 + 9y) + -16 Reorder the terms: 12 + 4y = 12 + -16 + 9y Combine like terms: 12 + -16 = -4 12 + 4y = -4 + 9y Solving 12 + 4y = -4 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 12 + 4y + -9y = -4 + 9y + -9y Combine like terms: 4y + -9y = -5y 12 + -5y = -4 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -5y = -4 + 0 12 + -5y = -4 Add '-12' to each side of the equation. 12 + -12 + -5y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = -4 + -12 -5y = -4 + -12 Combine like terms: -4 + -12 = -16 -5y = -16 Divide each side by '-5'. y = 3.2 Simplifying y = 3.2
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