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Simplifying -7(-3y + 2) + -4y = 3(y + -1) + -5 Reorder the terms: -7(2 + -3y) + -4y = 3(y + -1) + -5 (2 * -7 + -3y * -7) + -4y = 3(y + -1) + -5 (-14 + 21y) + -4y = 3(y + -1) + -5 Combine like terms: 21y + -4y = 17y -14 + 17y = 3(y + -1) + -5 Reorder the terms: -14 + 17y = 3(-1 + y) + -5 -14 + 17y = (-1 * 3 + y * 3) + -5 -14 + 17y = (-3 + 3y) + -5 Reorder the terms: -14 + 17y = -3 + -5 + 3y Combine like terms: -3 + -5 = -8 -14 + 17y = -8 + 3y Solving -14 + 17y = -8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -14 + 17y + -3y = -8 + 3y + -3y Combine like terms: 17y + -3y = 14y -14 + 14y = -8 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + 14y = -8 + 0 -14 + 14y = -8 Add '14' to each side of the equation. -14 + 14 + 14y = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 14y = -8 + 14 14y = -8 + 14 Combine like terms: -8 + 14 = 6 14y = 6 Divide each side by '14'. y = 0.4285714286 Simplifying y = 0.4285714286
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