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Simplifying -3(4y + 3) + -17 = -8(y + 5) + 4y Reorder the terms: -3(3 + 4y) + -17 = -8(y + 5) + 4y (3 * -3 + 4y * -3) + -17 = -8(y + 5) + 4y (-9 + -12y) + -17 = -8(y + 5) + 4y Reorder the terms: -9 + -17 + -12y = -8(y + 5) + 4y Combine like terms: -9 + -17 = -26 -26 + -12y = -8(y + 5) + 4y Reorder the terms: -26 + -12y = -8(5 + y) + 4y -26 + -12y = (5 * -8 + y * -8) + 4y -26 + -12y = (-40 + -8y) + 4y Combine like terms: -8y + 4y = -4y -26 + -12y = -40 + -4y Solving -26 + -12y = -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. -26 + -12y + 4y = -40 + -4y + 4y Combine like terms: -12y + 4y = -8y -26 + -8y = -40 + -4y + 4y Combine like terms: -4y + 4y = 0 -26 + -8y = -40 + 0 -26 + -8y = -40 Add '26' to each side of the equation. -26 + 26 + -8y = -40 + 26 Combine like terms: -26 + 26 = 0 0 + -8y = -40 + 26 -8y = -40 + 26 Combine like terms: -40 + 26 = -14 -8y = -14 Divide each side by '-8'. y = 1.75 Simplifying y = 1.75
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