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Simplifying -5(3Y + 3) + -17 = -6(Y + 8) + 3Y Reorder the terms: -5(3 + 3Y) + -17 = -6(Y + 8) + 3Y (3 * -5 + 3Y * -5) + -17 = -6(Y + 8) + 3Y (-15 + -15Y) + -17 = -6(Y + 8) + 3Y Reorder the terms: -15 + -17 + -15Y = -6(Y + 8) + 3Y Combine like terms: -15 + -17 = -32 -32 + -15Y = -6(Y + 8) + 3Y Reorder the terms: -32 + -15Y = -6(8 + Y) + 3Y -32 + -15Y = (8 * -6 + Y * -6) + 3Y -32 + -15Y = (-48 + -6Y) + 3Y Combine like terms: -6Y + 3Y = -3Y -32 + -15Y = -48 + -3Y Solving -32 + -15Y = -48 + -3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '3Y' to each side of the equation. -32 + -15Y + 3Y = -48 + -3Y + 3Y Combine like terms: -15Y + 3Y = -12Y -32 + -12Y = -48 + -3Y + 3Y Combine like terms: -3Y + 3Y = 0 -32 + -12Y = -48 + 0 -32 + -12Y = -48 Add '32' to each side of the equation. -32 + 32 + -12Y = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -12Y = -48 + 32 -12Y = -48 + 32 Combine like terms: -48 + 32 = -16 -12Y = -16 Divide each side by '-12'. Y = 1.333333333 Simplifying Y = 1.333333333
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