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Simplifying -3y + -47 = y + -1(65) Reorder the terms: -47 + -3y = y + -1(65) Multiply -1 * 65 -47 + -3y = y + -65 Reorder the terms: -47 + -3y = -65 + y Solving -47 + -3y = -65 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -47 + -3y + -1y = -65 + y + -1y Combine like terms: -3y + -1y = -4y -47 + -4y = -65 + y + -1y Combine like terms: y + -1y = 0 -47 + -4y = -65 + 0 -47 + -4y = -65 Add '47' to each side of the equation. -47 + 47 + -4y = -65 + 47 Combine like terms: -47 + 47 = 0 0 + -4y = -65 + 47 -4y = -65 + 47 Combine like terms: -65 + 47 = -18 -4y = -18 Divide each side by '-4'. y = 4.5 Simplifying y = 4.5
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