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Simplifying 10y + -5 + -3y = 4(2y + 3) + -20 Reorder the terms: -5 + 10y + -3y = 4(2y + 3) + -20 Combine like terms: 10y + -3y = 7y -5 + 7y = 4(2y + 3) + -20 Reorder the terms: -5 + 7y = 4(3 + 2y) + -20 -5 + 7y = (3 * 4 + 2y * 4) + -20 -5 + 7y = (12 + 8y) + -20 Reorder the terms: -5 + 7y = 12 + -20 + 8y Combine like terms: 12 + -20 = -8 -5 + 7y = -8 + 8y Solving -5 + 7y = -8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -5 + 7y + -8y = -8 + 8y + -8y Combine like terms: 7y + -8y = -1y -5 + -1y = -8 + 8y + -8y Combine like terms: 8y + -8y = 0 -5 + -1y = -8 + 0 -5 + -1y = -8 Add '5' to each side of the equation. -5 + 5 + -1y = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = -8 + 5 -1y = -8 + 5 Combine like terms: -8 + 5 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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