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Simplifying -5(4y + 1) + -7 = -8(y + 5) + 4y Reorder the terms: -5(1 + 4y) + -7 = -8(y + 5) + 4y (1 * -5 + 4y * -5) + -7 = -8(y + 5) + 4y (-5 + -20y) + -7 = -8(y + 5) + 4y Reorder the terms: -5 + -7 + -20y = -8(y + 5) + 4y Combine like terms: -5 + -7 = -12 -12 + -20y = -8(y + 5) + 4y Reorder the terms: -12 + -20y = -8(5 + y) + 4y -12 + -20y = (5 * -8 + y * -8) + 4y -12 + -20y = (-40 + -8y) + 4y Combine like terms: -8y + 4y = -4y -12 + -20y = -40 + -4y Solving -12 + -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. -12 + -20y + 4y = -40 + -4y + 4y Combine like terms: -20y + 4y = -16y -12 + -16y = -40 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + -16y = -40 + 0 -12 + -16y = -40 Add '12' to each side of the equation. -12 + 12 + -16y = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -16y = -40 + 12 -16y = -40 + 12 Combine like terms: -40 + 12 = -28 -16y = -28 Divide each side by '-16'. y = 1.75 Simplifying y = 1.75
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