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Simplifying 50 + 5y + -12 = 16y + -10 + -3y Reorder the terms: 50 + -12 + 5y = 16y + -10 + -3y Combine like terms: 50 + -12 = 38 38 + 5y = 16y + -10 + -3y Reorder the terms: 38 + 5y = -10 + 16y + -3y Combine like terms: 16y + -3y = 13y 38 + 5y = -10 + 13y Solving 38 + 5y = -10 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 38 + 5y + -13y = -10 + 13y + -13y Combine like terms: 5y + -13y = -8y 38 + -8y = -10 + 13y + -13y Combine like terms: 13y + -13y = 0 38 + -8y = -10 + 0 38 + -8y = -10 Add '-38' to each side of the equation. 38 + -38 + -8y = -10 + -38 Combine like terms: 38 + -38 = 0 0 + -8y = -10 + -38 -8y = -10 + -38 Combine like terms: -10 + -38 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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