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