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Simplifying Y + -9y + -15 = 3(-4y + -6) Reorder the terms: -15 + Y + -9y = 3(-4y + -6) Reorder the terms: -15 + Y + -9y = 3(-6 + -4y) -15 + Y + -9y = (-6 * 3 + -4y * 3) -15 + Y + -9y = (-18 + -12y) Solving -15 + Y + -9y = -18 + -12y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + Y + 15 + -9y = -18 + 15 + -12y Reorder the terms: -15 + 15 + Y + -9y = -18 + 15 + -12y Combine like terms: -15 + 15 = 0 0 + Y + -9y = -18 + 15 + -12y Y + -9y = -18 + 15 + -12y Combine like terms: -18 + 15 = -3 Y + -9y = -3 + -12y Add '9y' to each side of the equation. Y + -9y + 9y = -3 + -12y + 9y Combine like terms: -9y + 9y = 0 Y + 0 = -3 + -12y + 9y Y = -3 + -12y + 9y Combine like terms: -12y + 9y = -3y Y = -3 + -3y Simplifying Y = -3 + -3y
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