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Simplifying 4(y + 4) + -7 = 3(4 + -1) + -1(y + -4) Reorder the terms: 4(4 + y) + -7 = 3(4 + -1) + -1(y + -4) (4 * 4 + y * 4) + -7 = 3(4 + -1) + -1(y + -4) (16 + 4y) + -7 = 3(4 + -1) + -1(y + -4) Reorder the terms: 16 + -7 + 4y = 3(4 + -1) + -1(y + -4) Combine like terms: 16 + -7 = 9 9 + 4y = 3(4 + -1) + -1(y + -4) Combine like terms: 4 + -1 = 3 9 + 4y = 3(3) + -1(y + -4) Multiply 3 * 3 9 + 4y = 9 + -1(y + -4) Reorder the terms: 9 + 4y = 9 + -1(-4 + y) 9 + 4y = 9 + (-4 * -1 + y * -1) 9 + 4y = 9 + (4 + -1y) Combine like terms: 9 + 4 = 13 9 + 4y = 13 + -1y Solving 9 + 4y = 13 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 9 + 4y + y = 13 + -1y + y Combine like terms: 4y + y = 5y 9 + 5y = 13 + -1y + y Combine like terms: -1y + y = 0 9 + 5y = 13 + 0 9 + 5y = 13 Add '-9' to each side of the equation. 9 + -9 + 5y = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 5y = 13 + -9 5y = 13 + -9 Combine like terms: 13 + -9 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8
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