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Simplifying 6y + 3(5y + -4) = 12(2y + -5) Reorder the terms: 6y + 3(-4 + 5y) = 12(2y + -5) 6y + (-4 * 3 + 5y * 3) = 12(2y + -5) 6y + (-12 + 15y) = 12(2y + -5) Reorder the terms: -12 + 6y + 15y = 12(2y + -5) Combine like terms: 6y + 15y = 21y -12 + 21y = 12(2y + -5) Reorder the terms: -12 + 21y = 12(-5 + 2y) -12 + 21y = (-5 * 12 + 2y * 12) -12 + 21y = (-60 + 24y) Solving -12 + 21y = -60 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -12 + 21y + -24y = -60 + 24y + -24y Combine like terms: 21y + -24y = -3y -12 + -3y = -60 + 24y + -24y Combine like terms: 24y + -24y = 0 -12 + -3y = -60 + 0 -12 + -3y = -60 Add '12' to each side of the equation. -12 + 12 + -3y = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = -60 + 12 -3y = -60 + 12 Combine like terms: -60 + 12 = -48 -3y = -48 Divide each side by '-3'. y = 16 Simplifying y = 16
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