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Simplifying 4(y + 5) = -7(2y + -2) + 2y Reorder the terms: 4(5 + y) = -7(2y + -2) + 2y (5 * 4 + y * 4) = -7(2y + -2) + 2y (20 + 4y) = -7(2y + -2) + 2y Reorder the terms: 20 + 4y = -7(-2 + 2y) + 2y 20 + 4y = (-2 * -7 + 2y * -7) + 2y 20 + 4y = (14 + -14y) + 2y Combine like terms: -14y + 2y = -12y 20 + 4y = 14 + -12y Solving 20 + 4y = 14 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 20 + 4y + 12y = 14 + -12y + 12y Combine like terms: 4y + 12y = 16y 20 + 16y = 14 + -12y + 12y Combine like terms: -12y + 12y = 0 20 + 16y = 14 + 0 20 + 16y = 14 Add '-20' to each side of the equation. 20 + -20 + 16y = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 16y = 14 + -20 16y = 14 + -20 Combine like terms: 14 + -20 = -6 16y = -6 Divide each side by '16'. y = -0.375 Simplifying y = -0.375
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