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Simplifying 2y + -4 = 4y + 5 + -2(-8y + -3) Reorder the terms: -4 + 2y = 4y + 5 + -2(-8y + -3) Reorder the terms: -4 + 2y = 4y + 5 + -2(-3 + -8y) -4 + 2y = 4y + 5 + (-3 * -2 + -8y * -2) -4 + 2y = 4y + 5 + (6 + 16y) Reorder the terms: -4 + 2y = 5 + 6 + 4y + 16y Combine like terms: 5 + 6 = 11 -4 + 2y = 11 + 4y + 16y Combine like terms: 4y + 16y = 20y -4 + 2y = 11 + 20y Solving -4 + 2y = 11 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -4 + 2y + -20y = 11 + 20y + -20y Combine like terms: 2y + -20y = -18y -4 + -18y = 11 + 20y + -20y Combine like terms: 20y + -20y = 0 -4 + -18y = 11 + 0 -4 + -18y = 11 Add '4' to each side of the equation. -4 + 4 + -18y = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -18y = 11 + 4 -18y = 11 + 4 Combine like terms: 11 + 4 = 15 -18y = 15 Divide each side by '-18'. y = -0.8333333333 Simplifying y = -0.8333333333
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