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Simplifying -2(2y + -4) + 3y = -7(y + 1) Reorder the terms: -2(-4 + 2y) + 3y = -7(y + 1) (-4 * -2 + 2y * -2) + 3y = -7(y + 1) (8 + -4y) + 3y = -7(y + 1) Combine like terms: -4y + 3y = -1y 8 + -1y = -7(y + 1) Reorder the terms: 8 + -1y = -7(1 + y) 8 + -1y = (1 * -7 + y * -7) 8 + -1y = (-7 + -7y) Solving 8 + -1y = -7 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 8 + -1y + 7y = -7 + -7y + 7y Combine like terms: -1y + 7y = 6y 8 + 6y = -7 + -7y + 7y Combine like terms: -7y + 7y = 0 8 + 6y = -7 + 0 8 + 6y = -7 Add '-8' to each side of the equation. 8 + -8 + 6y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 6y = -7 + -8 6y = -7 + -8 Combine like terms: -7 + -8 = -15 6y = -15 Divide each side by '6'. y = -2.5 Simplifying y = -2.5
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