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Simplifying -4(3y + -9) + -1y = 4(y + -3) Reorder the terms: -4(-9 + 3y) + -1y = 4(y + -3) (-9 * -4 + 3y * -4) + -1y = 4(y + -3) (36 + -12y) + -1y = 4(y + -3) Combine like terms: -12y + -1y = -13y 36 + -13y = 4(y + -3) Reorder the terms: 36 + -13y = 4(-3 + y) 36 + -13y = (-3 * 4 + y * 4) 36 + -13y = (-12 + 4y) Solving 36 + -13y = -12 + 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. 36 + -13y + -4y = -12 + 4y + -4y Combine like terms: -13y + -4y = -17y 36 + -17y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 36 + -17y = -12 + 0 36 + -17y = -12 Add '-36' to each side of the equation. 36 + -36 + -17y = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -17y = -12 + -36 -17y = -12 + -36 Combine like terms: -12 + -36 = -48 -17y = -48 Divide each side by '-17'. y = 2.823529412 Simplifying y = 2.823529412
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