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Simplifying -4(-7y + 1) = -2 + -5(8 + 2y) Reorder the terms: -4(1 + -7y) = -2 + -5(8 + 2y) (1 * -4 + -7y * -4) = -2 + -5(8 + 2y) (-4 + 28y) = -2 + -5(8 + 2y) -4 + 28y = -2 + (8 * -5 + 2y * -5) -4 + 28y = -2 + (-40 + -10y) Combine like terms: -2 + -40 = -42 -4 + 28y = -42 + -10y Solving -4 + 28y = -42 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -4 + 28y + 10y = -42 + -10y + 10y Combine like terms: 28y + 10y = 38y -4 + 38y = -42 + -10y + 10y Combine like terms: -10y + 10y = 0 -4 + 38y = -42 + 0 -4 + 38y = -42 Add '4' to each side of the equation. -4 + 4 + 38y = -42 + 4 Combine like terms: -4 + 4 = 0 0 + 38y = -42 + 4 38y = -42 + 4 Combine like terms: -42 + 4 = -38 38y = -38 Divide each side by '38'. y = -1 Simplifying y = -1
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