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Simplifying -5(2y + 4) + -6 = -8(y + 5) + 2y Reorder the terms: -5(4 + 2y) + -6 = -8(y + 5) + 2y (4 * -5 + 2y * -5) + -6 = -8(y + 5) + 2y (-20 + -10y) + -6 = -8(y + 5) + 2y Reorder the terms: -20 + -6 + -10y = -8(y + 5) + 2y Combine like terms: -20 + -6 = -26 -26 + -10y = -8(y + 5) + 2y Reorder the terms: -26 + -10y = -8(5 + y) + 2y -26 + -10y = (5 * -8 + y * -8) + 2y -26 + -10y = (-40 + -8y) + 2y Combine like terms: -8y + 2y = -6y -26 + -10y = -40 + -6y Solving -26 + -10y = -40 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -26 + -10y + 6y = -40 + -6y + 6y Combine like terms: -10y + 6y = -4y -26 + -4y = -40 + -6y + 6y Combine like terms: -6y + 6y = 0 -26 + -4y = -40 + 0 -26 + -4y = -40 Add '26' to each side of the equation. -26 + 26 + -4y = -40 + 26 Combine like terms: -26 + 26 = 0 0 + -4y = -40 + 26 -4y = -40 + 26 Combine like terms: -40 + 26 = -14 -4y = -14 Divide each side by '-4'. y = 3.5 Simplifying y = 3.5
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