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Simplifying 7(y + 1) = 4(3y + -2) Reorder the terms: 7(1 + y) = 4(3y + -2) (1 * 7 + y * 7) = 4(3y + -2) (7 + 7y) = 4(3y + -2) Reorder the terms: 7 + 7y = 4(-2 + 3y) 7 + 7y = (-2 * 4 + 3y * 4) 7 + 7y = (-8 + 12y) Solving 7 + 7y = -8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 7 + 7y + -12y = -8 + 12y + -12y Combine like terms: 7y + -12y = -5y 7 + -5y = -8 + 12y + -12y Combine like terms: 12y + -12y = 0 7 + -5y = -8 + 0 7 + -5y = -8 Add '-7' to each side of the equation. 7 + -7 + -5y = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = -8 + -7 -5y = -8 + -7 Combine like terms: -8 + -7 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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