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Simplifying 4y + -62 + y = 2(-2y + 50) Reorder the terms: -62 + 4y + y = 2(-2y + 50) Combine like terms: 4y + y = 5y -62 + 5y = 2(-2y + 50) Reorder the terms: -62 + 5y = 2(50 + -2y) -62 + 5y = (50 * 2 + -2y * 2) -62 + 5y = (100 + -4y) Solving -62 + 5y = 100 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -62 + 5y + 4y = 100 + -4y + 4y Combine like terms: 5y + 4y = 9y -62 + 9y = 100 + -4y + 4y Combine like terms: -4y + 4y = 0 -62 + 9y = 100 + 0 -62 + 9y = 100 Add '62' to each side of the equation. -62 + 62 + 9y = 100 + 62 Combine like terms: -62 + 62 = 0 0 + 9y = 100 + 62 9y = 100 + 62 Combine like terms: 100 + 62 = 162 9y = 162 Divide each side by '9'. y = 18 Simplifying y = 18
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