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Simplifying 3(2y + 3) + -4(-1y + 1) = 7y + -10 Reorder the terms: 3(3 + 2y) + -4(-1y + 1) = 7y + -10 (3 * 3 + 2y * 3) + -4(-1y + 1) = 7y + -10 (9 + 6y) + -4(-1y + 1) = 7y + -10 Reorder the terms: 9 + 6y + -4(1 + -1y) = 7y + -10 9 + 6y + (1 * -4 + -1y * -4) = 7y + -10 9 + 6y + (-4 + 4y) = 7y + -10 Reorder the terms: 9 + -4 + 6y + 4y = 7y + -10 Combine like terms: 9 + -4 = 5 5 + 6y + 4y = 7y + -10 Combine like terms: 6y + 4y = 10y 5 + 10y = 7y + -10 Reorder the terms: 5 + 10y = -10 + 7y Solving 5 + 10y = -10 + 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. 5 + 10y + -7y = -10 + 7y + -7y Combine like terms: 10y + -7y = 3y 5 + 3y = -10 + 7y + -7y Combine like terms: 7y + -7y = 0 5 + 3y = -10 + 0 5 + 3y = -10 Add '-5' to each side of the equation. 5 + -5 + 3y = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = -10 + -5 3y = -10 + -5 Combine like terms: -10 + -5 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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