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Simplifying 3(2y + 4) = 4(2y + -0.5) Reorder the terms: 3(4 + 2y) = 4(2y + -0.5) (4 * 3 + 2y * 3) = 4(2y + -0.5) (12 + 6y) = 4(2y + -0.5) Reorder the terms: 12 + 6y = 4(-0.5 + 2y) 12 + 6y = (-0.5 * 4 + 2y * 4) 12 + 6y = (-2 + 8y) Solving 12 + 6y = -2 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 12 + 6y + -8y = -2 + 8y + -8y Combine like terms: 6y + -8y = -2y 12 + -2y = -2 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + -2y = -2 + 0 12 + -2y = -2 Add '-12' to each side of the equation. 12 + -12 + -2y = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = -2 + -12 -2y = -2 + -12 Combine like terms: -2 + -12 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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