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Simplifying 4(2y + -1) = 3(y + -7) Reorder the terms: 4(-1 + 2y) = 3(y + -7) (-1 * 4 + 2y * 4) = 3(y + -7) (-4 + 8y) = 3(y + -7) Reorder the terms: -4 + 8y = 3(-7 + y) -4 + 8y = (-7 * 3 + y * 3) -4 + 8y = (-21 + 3y) Solving -4 + 8y = -21 + 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. -4 + 8y + -3y = -21 + 3y + -3y Combine like terms: 8y + -3y = 5y -4 + 5y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + 5y = -21 + 0 -4 + 5y = -21 Add '4' to each side of the equation. -4 + 4 + 5y = -21 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = -21 + 4 5y = -21 + 4 Combine like terms: -21 + 4 = -17 5y = -17 Divide each side by '5'. y = -3.4 Simplifying y = -3.4
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