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Simplifying 4(y + -1) = 4y + 8 + -2(-7y + -2) Reorder the terms: 4(-1 + y) = 4y + 8 + -2(-7y + -2) (-1 * 4 + y * 4) = 4y + 8 + -2(-7y + -2) (-4 + 4y) = 4y + 8 + -2(-7y + -2) Reorder the terms: -4 + 4y = 4y + 8 + -2(-2 + -7y) -4 + 4y = 4y + 8 + (-2 * -2 + -7y * -2) -4 + 4y = 4y + 8 + (4 + 14y) Reorder the terms: -4 + 4y = 8 + 4 + 4y + 14y Combine like terms: 8 + 4 = 12 -4 + 4y = 12 + 4y + 14y Combine like terms: 4y + 14y = 18y -4 + 4y = 12 + 18y Solving -4 + 4y = 12 + 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. -4 + 4y + -18y = 12 + 18y + -18y Combine like terms: 4y + -18y = -14y -4 + -14y = 12 + 18y + -18y Combine like terms: 18y + -18y = 0 -4 + -14y = 12 + 0 -4 + -14y = 12 Add '4' to each side of the equation. -4 + 4 + -14y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -14y = 12 + 4 -14y = 12 + 4 Combine like terms: 12 + 4 = 16 -14y = 16 Divide each side by '-14'. y = -1.142857143 Simplifying y = -1.142857143
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