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Simplifying 4y + 2 + -2(-7y + -3) = 2(y + -3) Reorder the terms: 4y + 2 + -2(-3 + -7y) = 2(y + -3) 4y + 2 + (-3 * -2 + -7y * -2) = 2(y + -3) 4y + 2 + (6 + 14y) = 2(y + -3) Reorder the terms: 2 + 6 + 4y + 14y = 2(y + -3) Combine like terms: 2 + 6 = 8 8 + 4y + 14y = 2(y + -3) Combine like terms: 4y + 14y = 18y 8 + 18y = 2(y + -3) Reorder the terms: 8 + 18y = 2(-3 + y) 8 + 18y = (-3 * 2 + y * 2) 8 + 18y = (-6 + 2y) Solving 8 + 18y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + 18y + -2y = -6 + 2y + -2y Combine like terms: 18y + -2y = 16y 8 + 16y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 16y = -6 + 0 8 + 16y = -6 Add '-8' to each side of the equation. 8 + -8 + 16y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 16y = -6 + -8 16y = -6 + -8 Combine like terms: -6 + -8 = -14 16y = -14 Divide each side by '16'. y = -0.875 Simplifying y = -0.875
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