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Simplifying -5(-6y + 3) + -7y = 7(y + -4) + -1 Reorder the terms: -5(3 + -6y) + -7y = 7(y + -4) + -1 (3 * -5 + -6y * -5) + -7y = 7(y + -4) + -1 (-15 + 30y) + -7y = 7(y + -4) + -1 Combine like terms: 30y + -7y = 23y -15 + 23y = 7(y + -4) + -1 Reorder the terms: -15 + 23y = 7(-4 + y) + -1 -15 + 23y = (-4 * 7 + y * 7) + -1 -15 + 23y = (-28 + 7y) + -1 Reorder the terms: -15 + 23y = -28 + -1 + 7y Combine like terms: -28 + -1 = -29 -15 + 23y = -29 + 7y Solving -15 + 23y = -29 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -15 + 23y + -7y = -29 + 7y + -7y Combine like terms: 23y + -7y = 16y -15 + 16y = -29 + 7y + -7y Combine like terms: 7y + -7y = 0 -15 + 16y = -29 + 0 -15 + 16y = -29 Add '15' to each side of the equation. -15 + 15 + 16y = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 16y = -29 + 15 16y = -29 + 15 Combine like terms: -29 + 15 = -14 16y = -14 Divide each side by '16'. y = -0.875 Simplifying y = -0.875
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