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Simplifying 7 + -4(5 + -2y) + 2y = 3y + -4(2 + -1y) + 7 7 + (5 * -4 + -2y * -4) + 2y = 3y + -4(2 + -1y) + 7 7 + (-20 + 8y) + 2y = 3y + -4(2 + -1y) + 7 Combine like terms: 7 + -20 = -13 -13 + 8y + 2y = 3y + -4(2 + -1y) + 7 Combine like terms: 8y + 2y = 10y -13 + 10y = 3y + -4(2 + -1y) + 7 -13 + 10y = 3y + (2 * -4 + -1y * -4) + 7 -13 + 10y = 3y + (-8 + 4y) + 7 Reorder the terms: -13 + 10y = -8 + 7 + 3y + 4y Combine like terms: -8 + 7 = -1 -13 + 10y = -1 + 3y + 4y Combine like terms: 3y + 4y = 7y -13 + 10y = -1 + 7y Solving -13 + 10y = -1 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -13 + 10y + -7y = -1 + 7y + -7y Combine like terms: 10y + -7y = 3y -13 + 3y = -1 + 7y + -7y Combine like terms: 7y + -7y = 0 -13 + 3y = -1 + 0 -13 + 3y = -1 Add '13' to each side of the equation. -13 + 13 + 3y = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 3y = -1 + 13 3y = -1 + 13 Combine like terms: -1 + 13 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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