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Simplifying 4(2y + -3) = 2(3y + -2) Reorder the terms: 4(-3 + 2y) = 2(3y + -2) (-3 * 4 + 2y * 4) = 2(3y + -2) (-12 + 8y) = 2(3y + -2) Reorder the terms: -12 + 8y = 2(-2 + 3y) -12 + 8y = (-2 * 2 + 3y * 2) -12 + 8y = (-4 + 6y) Solving -12 + 8y = -4 + 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 = -4 + 6y + -6y Combine like terms: 8y + -6y = 2y -12 + 2y = -4 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 2y = -4 + 0 -12 + 2y = -4 Add '12' to each side of the equation. -12 + 12 + 2y = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = -4 + 12 2y = -4 + 12 Combine like terms: -4 + 12 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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