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Simplifying -2 = -4(-7y + 1) + -5(8 + 2y) Reorder the terms: -2 = -4(1 + -7y) + -5(8 + 2y) -2 = (1 * -4 + -7y * -4) + -5(8 + 2y) -2 = (-4 + 28y) + -5(8 + 2y) -2 = -4 + 28y + (8 * -5 + 2y * -5) -2 = -4 + 28y + (-40 + -10y) Reorder the terms: -2 = -4 + -40 + 28y + -10y Combine like terms: -4 + -40 = -44 -2 = -44 + 28y + -10y Combine like terms: 28y + -10y = 18y -2 = -44 + 18y Solving -2 = -44 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -2 + -18y = -44 + 18y + -18y Combine like terms: 18y + -18y = 0 -2 + -18y = -44 + 0 -2 + -18y = -44 Add '2' to each side of the equation. -2 + 2 + -18y = -44 + 2 Combine like terms: -2 + 2 = 0 0 + -18y = -44 + 2 -18y = -44 + 2 Combine like terms: -44 + 2 = -42 -18y = -42 Divide each side by '-18'. y = 2.333333333 Simplifying y = 2.333333333
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