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Simplifying 7(y + 1) + -3y = 5 + 4(2y + -1) Reorder the terms: 7(1 + y) + -3y = 5 + 4(2y + -1) (1 * 7 + y * 7) + -3y = 5 + 4(2y + -1) (7 + 7y) + -3y = 5 + 4(2y + -1) Combine like terms: 7y + -3y = 4y 7 + 4y = 5 + 4(2y + -1) Reorder the terms: 7 + 4y = 5 + 4(-1 + 2y) 7 + 4y = 5 + (-1 * 4 + 2y * 4) 7 + 4y = 5 + (-4 + 8y) Combine like terms: 5 + -4 = 1 7 + 4y = 1 + 8y Solving 7 + 4y = 1 + 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. 7 + 4y + -8y = 1 + 8y + -8y Combine like terms: 4y + -8y = -4y 7 + -4y = 1 + 8y + -8y Combine like terms: 8y + -8y = 0 7 + -4y = 1 + 0 7 + -4y = 1 Add '-7' to each side of the equation. 7 + -7 + -4y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 1 + -7 -4y = 1 + -7 Combine like terms: 1 + -7 = -6 -4y = -6 Divide each side by '-4'. y = 1.5 Simplifying y = 1.5
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