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Simplifying 7(1 + -3y) + 9 = 13 + -3(2y + 4) (1 * 7 + -3y * 7) + 9 = 13 + -3(2y + 4) (7 + -21y) + 9 = 13 + -3(2y + 4) Reorder the terms: 7 + 9 + -21y = 13 + -3(2y + 4) Combine like terms: 7 + 9 = 16 16 + -21y = 13 + -3(2y + 4) Reorder the terms: 16 + -21y = 13 + -3(4 + 2y) 16 + -21y = 13 + (4 * -3 + 2y * -3) 16 + -21y = 13 + (-12 + -6y) Combine like terms: 13 + -12 = 1 16 + -21y = 1 + -6y Solving 16 + -21y = 1 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 16 + -21y + 6y = 1 + -6y + 6y Combine like terms: -21y + 6y = -15y 16 + -15y = 1 + -6y + 6y Combine like terms: -6y + 6y = 0 16 + -15y = 1 + 0 16 + -15y = 1 Add '-16' to each side of the equation. 16 + -16 + -15y = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -15y = 1 + -16 -15y = 1 + -16 Combine like terms: 1 + -16 = -15 -15y = -15 Divide each side by '-15'. y = 1 Simplifying y = 1
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