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Simplifying 7 + -8(-7y + 1) = -4(-4y + 9) + 7 Reorder the terms: 7 + -8(1 + -7y) = -4(-4y + 9) + 7 7 + (1 * -8 + -7y * -8) = -4(-4y + 9) + 7 7 + (-8 + 56y) = -4(-4y + 9) + 7 Combine like terms: 7 + -8 = -1 -1 + 56y = -4(-4y + 9) + 7 Reorder the terms: -1 + 56y = -4(9 + -4y) + 7 -1 + 56y = (9 * -4 + -4y * -4) + 7 -1 + 56y = (-36 + 16y) + 7 Reorder the terms: -1 + 56y = -36 + 7 + 16y Combine like terms: -36 + 7 = -29 -1 + 56y = -29 + 16y Solving -1 + 56y = -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. -1 + 56y + -16y = -29 + 16y + -16y Combine like terms: 56y + -16y = 40y -1 + 40y = -29 + 16y + -16y Combine like terms: 16y + -16y = 0 -1 + 40y = -29 + 0 -1 + 40y = -29 Add '1' to each side of the equation. -1 + 1 + 40y = -29 + 1 Combine like terms: -1 + 1 = 0 0 + 40y = -29 + 1 40y = -29 + 1 Combine like terms: -29 + 1 = -28 40y = -28 Divide each side by '40'. y = -0.7 Simplifying y = -0.7
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