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Simplifying -55 + 16y + 8 = 6(3y + -5) + -7 Reorder the terms: -55 + 8 + 16y = 6(3y + -5) + -7 Combine like terms: -55 + 8 = -47 -47 + 16y = 6(3y + -5) + -7 Reorder the terms: -47 + 16y = 6(-5 + 3y) + -7 -47 + 16y = (-5 * 6 + 3y * 6) + -7 -47 + 16y = (-30 + 18y) + -7 Reorder the terms: -47 + 16y = -30 + -7 + 18y Combine like terms: -30 + -7 = -37 -47 + 16y = -37 + 18y Solving -47 + 16y = -37 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -47 + 16y + -18y = -37 + 18y + -18y Combine like terms: 16y + -18y = -2y -47 + -2y = -37 + 18y + -18y Combine like terms: 18y + -18y = 0 -47 + -2y = -37 + 0 -47 + -2y = -37 Add '47' to each side of the equation. -47 + 47 + -2y = -37 + 47 Combine like terms: -47 + 47 = 0 0 + -2y = -37 + 47 -2y = -37 + 47 Combine like terms: -37 + 47 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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