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Simplifying -7 = -5y + 4(-1y + 9) + -7(7 + -3y) Reorder the terms: -7 = -5y + 4(9 + -1y) + -7(7 + -3y) -7 = -5y + (9 * 4 + -1y * 4) + -7(7 + -3y) -7 = -5y + (36 + -4y) + -7(7 + -3y) -7 = -5y + 36 + -4y + (7 * -7 + -3y * -7) -7 = -5y + 36 + -4y + (-49 + 21y) Reorder the terms: -7 = 36 + -49 + -5y + -4y + 21y Combine like terms: 36 + -49 = -13 -7 = -13 + -5y + -4y + 21y Combine like terms: -5y + -4y = -9y -7 = -13 + -9y + 21y Combine like terms: -9y + 21y = 12y -7 = -13 + 12y Solving -7 = -13 + 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 + -12y = -13 + 12y + -12y Combine like terms: 12y + -12y = 0 -7 + -12y = -13 + 0 -7 + -12y = -13 Add '7' to each side of the equation. -7 + 7 + -12y = -13 + 7 Combine like terms: -7 + 7 = 0 0 + -12y = -13 + 7 -12y = -13 + 7 Combine like terms: -13 + 7 = -6 -12y = -6 Divide each side by '-12'. y = 0.5 Simplifying y = 0.5
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