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Simplifying 4(-12y + 19) = 16y + 4(-3y + -20) Reorder the terms: 4(19 + -12y) = 16y + 4(-3y + -20) (19 * 4 + -12y * 4) = 16y + 4(-3y + -20) (76 + -48y) = 16y + 4(-3y + -20) Reorder the terms: 76 + -48y = 16y + 4(-20 + -3y) 76 + -48y = 16y + (-20 * 4 + -3y * 4) 76 + -48y = 16y + (-80 + -12y) Reorder the terms: 76 + -48y = -80 + 16y + -12y Combine like terms: 16y + -12y = 4y 76 + -48y = -80 + 4y Solving 76 + -48y = -80 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 76 + -48y + -4y = -80 + 4y + -4y Combine like terms: -48y + -4y = -52y 76 + -52y = -80 + 4y + -4y Combine like terms: 4y + -4y = 0 76 + -52y = -80 + 0 76 + -52y = -80 Add '-76' to each side of the equation. 76 + -76 + -52y = -80 + -76 Combine like terms: 76 + -76 = 0 0 + -52y = -80 + -76 -52y = -80 + -76 Combine like terms: -80 + -76 = -156 -52y = -156 Divide each side by '-52'. y = 3 Simplifying y = 3
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