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Simplifying -4(4Y + 1) + -15 = -8(Y + 5) + 4Y Reorder the terms: -4(1 + 4Y) + -15 = -8(Y + 5) + 4Y (1 * -4 + 4Y * -4) + -15 = -8(Y + 5) + 4Y (-4 + -16Y) + -15 = -8(Y + 5) + 4Y Reorder the terms: -4 + -15 + -16Y = -8(Y + 5) + 4Y Combine like terms: -4 + -15 = -19 -19 + -16Y = -8(Y + 5) + 4Y Reorder the terms: -19 + -16Y = -8(5 + Y) + 4Y -19 + -16Y = (5 * -8 + Y * -8) + 4Y -19 + -16Y = (-40 + -8Y) + 4Y Combine like terms: -8Y + 4Y = -4Y -19 + -16Y = -40 + -4Y Solving -19 + -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. -19 + -16Y + 4Y = -40 + -4Y + 4Y Combine like terms: -16Y + 4Y = -12Y -19 + -12Y = -40 + -4Y + 4Y Combine like terms: -4Y + 4Y = 0 -19 + -12Y = -40 + 0 -19 + -12Y = -40 Add '19' to each side of the equation. -19 + 19 + -12Y = -40 + 19 Combine like terms: -19 + 19 = 0 0 + -12Y = -40 + 19 -12Y = -40 + 19 Combine like terms: -40 + 19 = -21 -12Y = -21 Divide each side by '-12'. Y = 1.75 Simplifying Y = 1.75
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