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Simplifying -2(4y + -3) + 8y = 4 + 3(6y + -4) Reorder the terms: -2(-3 + 4y) + 8y = 4 + 3(6y + -4) (-3 * -2 + 4y * -2) + 8y = 4 + 3(6y + -4) (6 + -8y) + 8y = 4 + 3(6y + -4) Combine like terms: -8y + 8y = 0 6 + 0 = 4 + 3(6y + -4) 6 = 4 + 3(6y + -4) Reorder the terms: 6 = 4 + 3(-4 + 6y) 6 = 4 + (-4 * 3 + 6y * 3) 6 = 4 + (-12 + 18y) Combine like terms: 4 + -12 = -8 6 = -8 + 18y Solving 6 = -8 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 6 + -18y = -8 + 18y + -18y Combine like terms: 18y + -18y = 0 6 + -18y = -8 + 0 6 + -18y = -8 Add '-6' to each side of the equation. 6 + -6 + -18y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -18y = -8 + -6 -18y = -8 + -6 Combine like terms: -8 + -6 = -14 -18y = -14 Divide each side by '-18'. y = 0.7777777778 Simplifying y = 0.7777777778
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