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Simplifying 7(2 + -1y) + -3(y + -4) = 10y + -4 (2 * 7 + -1y * 7) + -3(y + -4) = 10y + -4 (14 + -7y) + -3(y + -4) = 10y + -4 Reorder the terms: 14 + -7y + -3(-4 + y) = 10y + -4 14 + -7y + (-4 * -3 + y * -3) = 10y + -4 14 + -7y + (12 + -3y) = 10y + -4 Reorder the terms: 14 + 12 + -7y + -3y = 10y + -4 Combine like terms: 14 + 12 = 26 26 + -7y + -3y = 10y + -4 Combine like terms: -7y + -3y = -10y 26 + -10y = 10y + -4 Reorder the terms: 26 + -10y = -4 + 10y Solving 26 + -10y = -4 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 26 + -10y + -10y = -4 + 10y + -10y Combine like terms: -10y + -10y = -20y 26 + -20y = -4 + 10y + -10y Combine like terms: 10y + -10y = 0 26 + -20y = -4 + 0 26 + -20y = -4 Add '-26' to each side of the equation. 26 + -26 + -20y = -4 + -26 Combine like terms: 26 + -26 = 0 0 + -20y = -4 + -26 -20y = -4 + -26 Combine like terms: -4 + -26 = -30 -20y = -30 Divide each side by '-20'. y = 1.5 Simplifying y = 1.5
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