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Simplifying 0 = -5.4(2y + 6) + -1.4(3y + -5) Reorder the terms: 0 = -5.4(6 + 2y) + -1.4(3y + -5) 0 = (6 * -5.4 + 2y * -5.4) + -1.4(3y + -5) 0 = (-32.4 + -10.8y) + -1.4(3y + -5) Reorder the terms: 0 = -32.4 + -10.8y + -1.4(-5 + 3y) 0 = -32.4 + -10.8y + (-5 * -1.4 + 3y * -1.4) 0 = -32.4 + -10.8y + (7 + -4.2y) Reorder the terms: 0 = -32.4 + 7 + -10.8y + -4.2y Combine like terms: -32.4 + 7 = -25.4 0 = -25.4 + -10.8y + -4.2y Combine like terms: -10.8y + -4.2y = -15y 0 = -25.4 + -15y Solving 0 = -25.4 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. 0 + 15y = -25.4 + -15y + 15y Remove the zero: 15y = -25.4 + -15y + 15y Combine like terms: -15y + 15y = 0 15y = -25.4 + 0 15y = -25.4 Divide each side by '15'. y = -1.693333333 Simplifying y = -1.693333333
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