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Simplifying -50 + 3y + 8 = 2(3y + -4) + -7 Reorder the terms: -50 + 8 + 3y = 2(3y + -4) + -7 Combine like terms: -50 + 8 = -42 -42 + 3y = 2(3y + -4) + -7 Reorder the terms: -42 + 3y = 2(-4 + 3y) + -7 -42 + 3y = (-4 * 2 + 3y * 2) + -7 -42 + 3y = (-8 + 6y) + -7 Reorder the terms: -42 + 3y = -8 + -7 + 6y Combine like terms: -8 + -7 = -15 -42 + 3y = -15 + 6y Solving -42 + 3y = -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. -42 + 3y + -6y = -15 + 6y + -6y Combine like terms: 3y + -6y = -3y -42 + -3y = -15 + 6y + -6y Combine like terms: 6y + -6y = 0 -42 + -3y = -15 + 0 -42 + -3y = -15 Add '42' to each side of the equation. -42 + 42 + -3y = -15 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -15 + 42 -3y = -15 + 42 Combine like terms: -15 + 42 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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