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Simplifying -4(4y + 3) + -13 = -8(y + 5) + 4y Reorder the terms: -4(3 + 4y) + -13 = -8(y + 5) + 4y (3 * -4 + 4y * -4) + -13 = -8(y + 5) + 4y (-12 + -16y) + -13 = -8(y + 5) + 4y Reorder the terms: -12 + -13 + -16y = -8(y + 5) + 4y Combine like terms: -12 + -13 = -25 -25 + -16y = -8(y + 5) + 4y Reorder the terms: -25 + -16y = -8(5 + y) + 4y -25 + -16y = (5 * -8 + y * -8) + 4y -25 + -16y = (-40 + -8y) + 4y Combine like terms: -8y + 4y = -4y -25 + -16y = -40 + -4y Solving -25 + -16y = -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. -25 + -16y + 4y = -40 + -4y + 4y Combine like terms: -16y + 4y = -12y -25 + -12y = -40 + -4y + 4y Combine like terms: -4y + 4y = 0 -25 + -12y = -40 + 0 -25 + -12y = -40 Add '25' to each side of the equation. -25 + 25 + -12y = -40 + 25 Combine like terms: -25 + 25 = 0 0 + -12y = -40 + 25 -12y = -40 + 25 Combine like terms: -40 + 25 = -15 -12y = -15 Divide each side by '-12'. y = 1.25 Simplifying y = 1.25
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