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Simplifying -4(4y + -6) + -1y = 3(y + -3) Reorder the terms: -4(-6 + 4y) + -1y = 3(y + -3) (-6 * -4 + 4y * -4) + -1y = 3(y + -3) (24 + -16y) + -1y = 3(y + -3) Combine like terms: -16y + -1y = -17y 24 + -17y = 3(y + -3) Reorder the terms: 24 + -17y = 3(-3 + y) 24 + -17y = (-3 * 3 + y * 3) 24 + -17y = (-9 + 3y) Solving 24 + -17y = -9 + 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. 24 + -17y + -3y = -9 + 3y + -3y Combine like terms: -17y + -3y = -20y 24 + -20y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + -20y = -9 + 0 24 + -20y = -9 Add '-24' to each side of the equation. 24 + -24 + -20y = -9 + -24 Combine like terms: 24 + -24 = 0 0 + -20y = -9 + -24 -20y = -9 + -24 Combine like terms: -9 + -24 = -33 -20y = -33 Divide each side by '-20'. y = 1.65 Simplifying y = 1.65
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