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Simplifying -5(2y + 5) + -5 = -8(y + 5) + 2y Reorder the terms: -5(5 + 2y) + -5 = -8(y + 5) + 2y (5 * -5 + 2y * -5) + -5 = -8(y + 5) + 2y (-25 + -10y) + -5 = -8(y + 5) + 2y Reorder the terms: -25 + -5 + -10y = -8(y + 5) + 2y Combine like terms: -25 + -5 = -30 -30 + -10y = -8(y + 5) + 2y Reorder the terms: -30 + -10y = -8(5 + y) + 2y -30 + -10y = (5 * -8 + y * -8) + 2y -30 + -10y = (-40 + -8y) + 2y Combine like terms: -8y + 2y = -6y -30 + -10y = -40 + -6y Solving -30 + -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. -30 + -10y + 6y = -40 + -6y + 6y Combine like terms: -10y + 6y = -4y -30 + -4y = -40 + -6y + 6y Combine like terms: -6y + 6y = 0 -30 + -4y = -40 + 0 -30 + -4y = -40 Add '30' to each side of the equation. -30 + 30 + -4y = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -4y = -40 + 30 -4y = -40 + 30 Combine like terms: -40 + 30 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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