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Simplifying -6 + -8(-6y + 7) = -2(-3y + 8) + 1 Reorder the terms: -6 + -8(7 + -6y) = -2(-3y + 8) + 1 -6 + (7 * -8 + -6y * -8) = -2(-3y + 8) + 1 -6 + (-56 + 48y) = -2(-3y + 8) + 1 Combine like terms: -6 + -56 = -62 -62 + 48y = -2(-3y + 8) + 1 Reorder the terms: -62 + 48y = -2(8 + -3y) + 1 -62 + 48y = (8 * -2 + -3y * -2) + 1 -62 + 48y = (-16 + 6y) + 1 Reorder the terms: -62 + 48y = -16 + 1 + 6y Combine like terms: -16 + 1 = -15 -62 + 48y = -15 + 6y Solving -62 + 48y = -15 + 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. -62 + 48y + -6y = -15 + 6y + -6y Combine like terms: 48y + -6y = 42y -62 + 42y = -15 + 6y + -6y Combine like terms: 6y + -6y = 0 -62 + 42y = -15 + 0 -62 + 42y = -15 Add '62' to each side of the equation. -62 + 62 + 42y = -15 + 62 Combine like terms: -62 + 62 = 0 0 + 42y = -15 + 62 42y = -15 + 62 Combine like terms: -15 + 62 = 47 42y = 47 Divide each side by '42'. y = 1.119047619 Simplifying y = 1.119047619
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