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Simplifying 5(2y + -4) = 3(4y + -4) Reorder the terms: 5(-4 + 2y) = 3(4y + -4) (-4 * 5 + 2y * 5) = 3(4y + -4) (-20 + 10y) = 3(4y + -4) Reorder the terms: -20 + 10y = 3(-4 + 4y) -20 + 10y = (-4 * 3 + 4y * 3) -20 + 10y = (-12 + 12y) Solving -20 + 10y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -20 + 10y + -12y = -12 + 12y + -12y Combine like terms: 10y + -12y = -2y -20 + -2y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -20 + -2y = -12 + 0 -20 + -2y = -12 Add '20' to each side of the equation. -20 + 20 + -2y = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -2y = -12 + 20 -2y = -12 + 20 Combine like terms: -12 + 20 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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