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Simplifying 6(3y + -2) = 4(5y + 2) Reorder the terms: 6(-2 + 3y) = 4(5y + 2) (-2 * 6 + 3y * 6) = 4(5y + 2) (-12 + 18y) = 4(5y + 2) Reorder the terms: -12 + 18y = 4(2 + 5y) -12 + 18y = (2 * 4 + 5y * 4) -12 + 18y = (8 + 20y) Solving -12 + 18y = 8 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -12 + 18y + -20y = 8 + 20y + -20y Combine like terms: 18y + -20y = -2y -12 + -2y = 8 + 20y + -20y Combine like terms: 20y + -20y = 0 -12 + -2y = 8 + 0 -12 + -2y = 8 Add '12' to each side of the equation. -12 + 12 + -2y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 8 + 12 -2y = 8 + 12 Combine like terms: 8 + 12 = 20 -2y = 20 Divide each side by '-2'. y = -10 Simplifying y = -10
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