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Simplifying 3(y + -15) + -5(2y + -4) = 12 Reorder the terms: 3(-15 + y) + -5(2y + -4) = 12 (-15 * 3 + y * 3) + -5(2y + -4) = 12 (-45 + 3y) + -5(2y + -4) = 12 Reorder the terms: -45 + 3y + -5(-4 + 2y) = 12 -45 + 3y + (-4 * -5 + 2y * -5) = 12 -45 + 3y + (20 + -10y) = 12 Reorder the terms: -45 + 20 + 3y + -10y = 12 Combine like terms: -45 + 20 = -25 -25 + 3y + -10y = 12 Combine like terms: 3y + -10y = -7y -25 + -7y = 12 Solving -25 + -7y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -7y = 12 + 25 Combine like terms: -25 + 25 = 0 0 + -7y = 12 + 25 -7y = 12 + 25 Combine like terms: 12 + 25 = 37 -7y = 37 Divide each side by '-7'. y = -5.285714286 Simplifying y = -5.285714286
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