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Simplifying 3(y + -9) + -7 = -4(-5y + 8) + -3y Reorder the terms: 3(-9 + y) + -7 = -4(-5y + 8) + -3y (-9 * 3 + y * 3) + -7 = -4(-5y + 8) + -3y (-27 + 3y) + -7 = -4(-5y + 8) + -3y Reorder the terms: -27 + -7 + 3y = -4(-5y + 8) + -3y Combine like terms: -27 + -7 = -34 -34 + 3y = -4(-5y + 8) + -3y Reorder the terms: -34 + 3y = -4(8 + -5y) + -3y -34 + 3y = (8 * -4 + -5y * -4) + -3y -34 + 3y = (-32 + 20y) + -3y Combine like terms: 20y + -3y = 17y -34 + 3y = -32 + 17y Solving -34 + 3y = -32 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -34 + 3y + -17y = -32 + 17y + -17y Combine like terms: 3y + -17y = -14y -34 + -14y = -32 + 17y + -17y Combine like terms: 17y + -17y = 0 -34 + -14y = -32 + 0 -34 + -14y = -32 Add '34' to each side of the equation. -34 + 34 + -14y = -32 + 34 Combine like terms: -34 + 34 = 0 0 + -14y = -32 + 34 -14y = -32 + 34 Combine like terms: -32 + 34 = 2 -14y = 2 Divide each side by '-14'. y = -0.1428571429 Simplifying y = -0.1428571429
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