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Simplifying -7 = 5y + 4(-4 + 9) + -7(7 + 3y) Combine like terms: -4 + 9 = 5 -7 = 5y + 4(5) + -7(7 + 3y) Multiply 4 * 5 -7 = 5y + 20 + -7(7 + 3y) -7 = 5y + 20 + (7 * -7 + 3y * -7) -7 = 5y + 20 + (-49 + -21y) Reorder the terms: -7 = 20 + -49 + 5y + -21y Combine like terms: 20 + -49 = -29 -7 = -29 + 5y + -21y Combine like terms: 5y + -21y = -16y -7 = -29 + -16y Solving -7 = -29 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -7 + 16y = -29 + -16y + 16y Combine like terms: -16y + 16y = 0 -7 + 16y = -29 + 0 -7 + 16y = -29 Add '7' to each side of the equation. -7 + 7 + 16y = -29 + 7 Combine like terms: -7 + 7 = 0 0 + 16y = -29 + 7 16y = -29 + 7 Combine like terms: -29 + 7 = -22 16y = -22 Divide each side by '16'. y = -1.375 Simplifying y = -1.375
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