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Simplifying 4(-2y + -3) = 9(y + -4) Reorder the terms: 4(-3 + -2y) = 9(y + -4) (-3 * 4 + -2y * 4) = 9(y + -4) (-12 + -8y) = 9(y + -4) Reorder the terms: -12 + -8y = 9(-4 + y) -12 + -8y = (-4 * 9 + y * 9) -12 + -8y = (-36 + 9y) Solving -12 + -8y = -36 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -12 + -8y + -9y = -36 + 9y + -9y Combine like terms: -8y + -9y = -17y -12 + -17y = -36 + 9y + -9y Combine like terms: 9y + -9y = 0 -12 + -17y = -36 + 0 -12 + -17y = -36 Add '12' to each side of the equation. -12 + 12 + -17y = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -17y = -36 + 12 -17y = -36 + 12 Combine like terms: -36 + 12 = -24 -17y = -24 Divide each side by '-17'. y = 1.411764706 Simplifying y = 1.411764706
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