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Simplifying -4 + -8(2y + -7) = -6(7y + -9) + 1 Reorder the terms: -4 + -8(-7 + 2y) = -6(7y + -9) + 1 -4 + (-7 * -8 + 2y * -8) = -6(7y + -9) + 1 -4 + (56 + -16y) = -6(7y + -9) + 1 Combine like terms: -4 + 56 = 52 52 + -16y = -6(7y + -9) + 1 Reorder the terms: 52 + -16y = -6(-9 + 7y) + 1 52 + -16y = (-9 * -6 + 7y * -6) + 1 52 + -16y = (54 + -42y) + 1 Reorder the terms: 52 + -16y = 54 + 1 + -42y Combine like terms: 54 + 1 = 55 52 + -16y = 55 + -42y Solving 52 + -16y = 55 + -42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42y' to each side of the equation. 52 + -16y + 42y = 55 + -42y + 42y Combine like terms: -16y + 42y = 26y 52 + 26y = 55 + -42y + 42y Combine like terms: -42y + 42y = 0 52 + 26y = 55 + 0 52 + 26y = 55 Add '-52' to each side of the equation. 52 + -52 + 26y = 55 + -52 Combine like terms: 52 + -52 = 0 0 + 26y = 55 + -52 26y = 55 + -52 Combine like terms: 55 + -52 = 3 26y = 3 Divide each side by '26'. y = 0.1153846154 Simplifying y = 0.1153846154
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