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Simplifying -5(4y + 3) + -13 = -8(y + 5) + 4y Reorder the terms: -5(3 + 4y) + -13 = -8(y + 5) + 4y (3 * -5 + 4y * -5) + -13 = -8(y + 5) + 4y (-15 + -20y) + -13 = -8(y + 5) + 4y Reorder the terms: -15 + -13 + -20y = -8(y + 5) + 4y Combine like terms: -15 + -13 = -28 -28 + -20y = -8(y + 5) + 4y Reorder the terms: -28 + -20y = -8(5 + y) + 4y -28 + -20y = (5 * -8 + y * -8) + 4y -28 + -20y = (-40 + -8y) + 4y Combine like terms: -8y + 4y = -4y -28 + -20y = -40 + -4y Solving -28 + -20y = -40 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -28 + -20y + 4y = -40 + -4y + 4y Combine like terms: -20y + 4y = -16y -28 + -16y = -40 + -4y + 4y Combine like terms: -4y + 4y = 0 -28 + -16y = -40 + 0 -28 + -16y = -40 Add '28' to each side of the equation. -28 + 28 + -16y = -40 + 28 Combine like terms: -28 + 28 = 0 0 + -16y = -40 + 28 -16y = -40 + 28 Combine like terms: -40 + 28 = -12 -16y = -12 Divide each side by '-16'. y = 0.75 Simplifying y = 0.75
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